The x and y-intercept is useful to find the slope, to find the equation of a line, and also to find the area made by the line with the coordinate axes. Grade. KG. 1st. 2nd. 3rd. 4th. 5th. 6th. 7th. 8th. ... X and y intercepts can be found from the points where the line or curve cuts the coordinate axis. If the line cuts the x-axis at the point ...We've shown that m=y2−y1x2−x1 m = y 2 − y 1 x 2 − x 1 is really another version of m=riserun m = rise run . We can use this formula to find the slope of a ...Indices Commodities Currencies StocksThe x and y-intercept is useful to find the slope, to find the equation of a line, and also to find the area made by the line with the coordinate axes. Grade. KG. 1st. 2nd. 3rd. 4th. 5th. 6th. 7th. 8th. ... X and y intercepts can be found from the points where the line or curve cuts the coordinate axis. If the line cuts the x-axis at the point ... There are 3 steps to find the Equation of the Straight Line: 1. Find the slope of the line; 2. Put the slope and one point into the "Point-Slope Formula" 3. Simplify; Step 1: Find the Slope (or Gradient) from 2 Points. What is the slope (or gradient) of this line? We know two points: point "A" is (6,4) (at x is 6, y is 4) point "B" is (2,3) (at ... Sep 22, 2014 · Therefore it you want to plug in 0 for your x values. y = ax2 + bx + c, has a y-intercept at c. If given a graph: the y-intercept passes through y-axis. Example: If a graph passes the y-axis at -1, then the y-intercept is -1. If you can not see the y-axis, you need to chose two points and create the equation of the parabola in standard or ... Should You Buy Mortgage Points? SmartAsset has the best calculator to help you decide. Calculators Helpful Guides Compare Rates Lender Reviews Calculators Helpful Guides Learn More... How the equation of a line relates to the graph of its y-intercept. The Y-Intercept of a line is the point where a line 's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4). Should You Buy Mortgage Points? SmartAsset has the best calculator to help you decide. Calculators Helpful Guides Compare Rates Lender Reviews Calculators Helpful Guides Learn More...The steps are as follows: 1.) Find the two zeros (roots), r and s, of the quadratic from the factored form. These value comes from the factored form y = a (x – r) (x – s). 2.) Take the average of r and s to get h = (r + s) / 2 (h is the x-coordinate of the vertex). 3.)Yes. In that case, you need to first use the two points to find the slope, using the following formula. m = \frac {y_2 - y_1} {x_2 - x_1} m = x2 −x1y2 −y1. Once you have the slope, …How the equation of a line relates to the graph of its y-intercept. The Y-Intercept of a line is the point where a line 's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).Jan 18, 2024 · To compute the equation of the line passing through points (x1, y1) and (x2, y2): Compute the slope as a = (y2-y1) / (x2-x1). Compute the intercept as b = y1 - a × x1. The equation you need reads y = a × x + b, with a an b computed as above. If x2 = x1, you cannot compute a — the line is vertical and has equation x = x1. That's why moving from an x-value of -1 to 0 will move you down by 2/3 (from a y-value 2 to 4/3, because 2 - 2/3 is 4/3. This can also be written as 6/3 - 2/3 = 4/3) Another way to do this is by plugging the slope and a point to the slope-intercept equation (y = mx + b) to solve for the y-intercept. I'll use the point (-1, 2). y = mx + b These points are called x-intercepts and y-intercepts, respectively. What is the formula for slope and y-intercept? The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. y-intercept. Save Copy. Log InorSign Up. y = − 1 2 x + 1 3 1. 2 3 ...Interpreting the Intercept in Simple Linear Regression. A simple linear regression model takes the following form: ŷ = β0 + β1(x) where: ŷ: The predicted value for the response variable. β0: The mean value of the response variable when x = 0. β1: The average change in the response variable for a one unit increase in x.Step 1: Find the slope (m). Use the formula to find the slope between the two points. Once you know the slope, plug it in for m in y = mx + b. This gives you y = 3x + b. Step 2: Find the y-intercept (b). Pick one of the points on the line and use the x and y values to find b. It does not matter which point you choose.Step 1: Note down the coordinates of the two points lying on the line as (x 1 1, y 1 1) and (x 2 2, y 2 2 ). Step 2: Apply the two point formula given as, y −y1 y − y 1 = y2−y1 x2−x1 (x− x1) y 2 − y 1 x 2 − x 1 ( x − x 1). Step 3: Simplify the obtained equation to the form, y = mx + b to represent the line.May 24, 2023 ... We represent the equation of a straight line using the formula: ax+by=c, where x and y are variables. The two-point form of a line is used to ...Find the equation of the line which passes through the points A(-2, 0) and B(1, 6) and state the gradient and y-intercept close y-intercept The value of the y-coordinate when a graph crosses the y ...The x and y-intercept is useful to find the slope, to find the equation of a line, and also to find the area made by the line with the coordinate axes. Grade. KG. 1st. 2nd. 3rd. 4th. 5th. 6th. 7th. 8th. ... X and y intercepts can be found from the points where the line or curve cuts the coordinate axis. If the line cuts the x-axis at the point ...Step 3: Determine the vertex. One way to do this is to use the equation for the line of symmetry, x = − b 2a, to find the x -value of the vertex. In this example, a = −1 and b = −2: Substitute −1 into the original equation to find the corresponding y …Determine the rise between the two points. To do this, you must compare the difference in y of the two points. Begin with the first point, the point that is the farthest left on the graph, and count up until you reach the y-coordinate of the second point. The rise can be positive or negative; that is, you can count up or down to find it.In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line. The slope or gradient of a line describes how steep a line is. It can have either a positive or a negative value. When a standard form of a linear equation is of the form Ax + By = C, where 'x' and 'y' and 'C' are ... Use the slope that we found, together with ANY of the two given points. In this exercise, I will show you that we should arrive at the same value of the [latex]y[/latex]-intercept regardless of which point is selected for the calculation. Finding the [latex]y[/latex]-intercept. Using the first point [latex]\left( {4,\,5} \right)[/latex]. Summary. To find the intersection between two lines y = ax + b and y = cx + d the first step that must be done is to set ax + b equal to cx + d. Then solve this equation for x. This will be the x coordinate of the intersection point.Solution. Find the y-intercept with 2 points: Let ( x 1, y 1) and ( x 2, y 2) be the two given points. Slope of the line passing through the given points is: m = y 2 - y 1 x 2 - x 1. The equation of a line in slope-intercept form is: y = m x + c. Here, m is the slope of the line and c is the y-intercept. Now, substitute the two points in m = y ...Let me see. It's going to go through those two points and so it's going to look something like that. Now what are its' x and y-intercepts? Well ...How To: Given two points on a line and a third point, write the equation of the perpendicular line that passes through the point. Determine the slope of the line passing through the points. Find the negative reciprocal of the slope. Use slope-intercept form or point-slope form to write the equation by substituting the known values. Simplify.Since the slope is negative, the final graph of the line should be decreasing when viewed from left to right. Step 1: Begin by plotting the [latex]y [/latex]-intercept of the given equation which is [latex]\left ( {0,3} \right) [/latex]. Step 2: Use the slope [latex]\large {m = { { – 5} \over 3}} [/latex] to find another point using the ...Advertisement The Sidewinder AIM-9 (air intercept missile 9) is classified as a short-range, air-to-air missile. Simply put, its job is to launch from an airborne aircraft and "kil...Jul 30, 2023 · Multiply 1 and 3 together to get 8 = 3+b. Since 3 is a positive number, subtract 3 from each side to isolate b. This leaves you with 5 = b, or b = 5. 5. Plug in the slope and y-intercept into the slope-intercept formula to finish the equation. Once you’re finished, plug in the slope for m and the y-intercept for b. The Points. We use Cartesian Coordinates to mark a point on a graph by how far along and how far up it is:. Example: The point (12,5) is 12 units along, and 5 units up. Steps. There are 3 steps to find the Equation of …For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction ...Yes. In that case, you need to first use the two points to find the slope, using the following formula. m = \frac {y_2 - y_1} {x_2 - x_1} m = x2 −x1y2 −y1. Once you have the slope, …First, insert the following formula in cell C11. =INTERCEPT (B5:B9,C5:C9) Next, press the Enter button. Finally, you will get the y-intercept with the INTERCEPT function in Excel like the following image. Thus, we can find the y-intercept in Excel by using the INTERCEPTION Function. 2.Feb 19, 2024 · Determine the rise between the two points. To do this, you must compare the difference in y of the two points. Begin with the first point, the point that is the farthest left on the graph, and count up until you reach the y-coordinate of the second point. The rise can be positive or negative; that is, you can count up or down to find it. Now we will utilize the point-slope formula, which is: y - y₁ = m (x - x₁) Let y₁ be any given y coordinate and x₁ be any given x coordinate. Let's use (1,-2), but you can use either or coordinates. y-2 = 3(x- (-1)) y-2 = 3 (x+1) y-2=3x+3. y=3x+5. That's the equation …Each of the points at which a line crosses the [latex]x\text {-axis} [/latex] and the [latex]y\text {-axis} [/latex] is called an intercept of the line. Let’s look at the graph of the lines shown below. First, notice where each of these lines crosses the x – axis: Figure: The line crosses the x-axis at: Ordered pair of this point.First, this equation is in slope-intercept form. The slope -intercept form of a linear equation is: y = mx +b. Where m is the slope and b is the y-intercept value. y = 3x − 2. Or. y = 3x + −2. Therefore, we know the slope is: m = 3. And the y -intercept is: b = − 2 or (0,−2) We can start graphing this equation by plotting the y -intercept:To accurately find the coordinates of the point where two functions intersect, perform the following steps: Graph the functions in a viewing window that contains the point of intersection of the functions. Press [2nd] [TRACE] to access the Calculate menu. Press [5] to select the intersect option. Select the first function. Use the slope that we found, together with ANY of the two given points. In this exercise, I will show you that we should arrive at the same value of the [latex]y[/latex]-intercept regardless of which point is selected for the calculation. Finding the [latex]y[/latex]-intercept. Using the first point [latex]\left( {4,\,5} \right)[/latex]. Jan 18, 2024 · To compute the equation of the line passing through points (x1, y1) and (x2, y2): Compute the slope as a = (y2-y1) / (x2-x1). Compute the intercept as b = y1 - a × x1. The equation you need reads y = a × x + b, with a an b computed as above. If x2 = x1, you cannot compute a — the line is vertical and has equation x = x1. For example, if two points in the table were (1, 2) and (4, 8), you could see that the y value changed by 6 and the x value changed by 3. This would give you a slope of 2 through 6 / 3 = 2. …How? That means [latex]m = 9 [/latex], and from the given point [latex]\left ( {0, – \,2} \right) [/latex] we have [latex]x = 0 [/latex] and [latex]y = – \,2 [/latex]. Let’s substitute these known values into the slope-intercept …The points where a line crosses the x - axis and the y - axis are called the intercepts of a line. Let’s look at the graphs of the lines in Figure 4.3.1 4.3. 1. Figure 4.3.1 4.3. 1: Examples of graphs crossing the x-negative axis. First, notice where each of these lines crosses the x negative axis.Advertisement The Sidewinder AIM-9 (air intercept missile 9) is classified as a short-range, air-to-air missile. Simply put, its job is to launch from an airborne aircraft and "kil... X Intercept on a Graph. To find the x-intercept of a line of the form y = mx+b, substitute y = 0. Example: To calculate the x-intercept of any line for example the line y = 2x−4, put y = 0 in the equation of a line. Solution: 0 = 2x−4. 4 = 2x. 2 = x. So, the x-intercept of the line y=2x−4 is 2. Because the x-value of the first point is zero, we can easily find a. 1.75 = ab 0 or a = 1.75. Plugging this value, along with those of the second point, into the general exponential equation produces 6.87 = 1.75b 100, which gives the value of b as the hundredth root of 6.87/1.75 or 3.93. So the equation becomes y = 1.75 (hundredth root of …China is bullying its neighbors over territorial claims in the South China Sea, home to crucial shipping routes and oil and gas reserves. Last week, China announced that it would b...Algebra. Graph y=2x-8. y = 2x − 8 y = 2 x - 8. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 2 2. y-intercept: (0,−8) ( 0, - 8) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.Aug 7, 2013 · 0:00 / 2:00. Finding y intercept given slope and point | Algebra Basics | Khan Academy. Khan Academy. 8.31M subscribers. Subscribed. 499. 476K views 10 years ago Graphing lines and slope |... f (x) Free y intercept calculator - find function's y-axis intercept step-by-step. Because the x-value of the first point is zero, we can easily find a. 1.75 = ab 0 or a = 1.75. Plugging this value, along with those of the second point, into the general exponential equation produces 6.87 = 1.75b 100, which gives the value of b as the hundredth root of 6.87/1.75 or 3.93. So the equation becomes y = 1.75 (hundredth root of …Replace the letters in the. y = m x + b {\displaystyle y=mx+b} equation with your known values of slope and xy coordinates: 2 = − 5 ( 8 ) + b {\displaystyle 2= {-5} (8)+b} 4. Solve the equation for the y-intercept. Once you have your values entered into the slope equation, it is time to isolate , or the y-intercept.We've shown that m=y2−y1x2−x1 m = y 2 − y 1 x 2 − x 1 is really another version of m=riserun m = rise run . We can use this formula to find the slope of a ...Tornado chasers generally stay about a mile away from the tornado itself -- but not IMAX cinematographer Sean Casey. He has built a Tornado Intercept Vehicle and hopes to withstand...The explosive device sent to CNN in New York was intercepted in the mailroom. Along with government agencies, US corporations have been on high alert since 9/11. The explosive devi...If you are given a point-slope form of a line, you can get the slope intercept by following these steps: Write down your point-slope form: y - b = m (x - a) Expand the right-hand side: y - b = mx - ma. Add b to both sides: y = mx - ma + b. This is slope-intercept form! The slope is m, and the intercept is -ma + b.If you're planning a trip to Barcelona, these are the travel tips you'll want to keep in mind. Avoid the crowds and see Barcelona from a local's point of view. If you haven't been ...In algebra, linear equations means you're dealing with straight lines. When you're working with the xy -coordinate system, you can use the following formulas to find the slope, y -intercept, distance, and midpoint between two points. Consider the two points ( x1, y1) and ( x2, y2 ):See full list on wikihow.com Summary. To find the intersection between two lines y = ax + b and y = cx + d the first step that must be done is to set ax + b equal to cx + d. Then solve this equation for x. This will be the x coordinate of the intersection point.Y = 6 - 3x. Now you know how to find a linear equation from two points. Let’s use this knowledge to solve some problems. Examples - Finding Equation of Straight Line. Using slope and y-intercept: If a straight line has a slope of -1 and its y-intercept is 3. Find the linear equation. Solution: Step 1: Identify the given information. m = -1. b = 3Let's quickly review the steps for writing an equation given two points: 1. Find the slope using the slope formula. 2. Find the y-intercept by substituting the slope and the coordinates of 1 point into the slope intercept formula, y = mx + b. 3. Write the equation using the slope and y-intercept. Ok, now let's apply this skill to solve real ...The \(x\)-coordinate of any point on the \(y\)-axis is \(0\) and we use this fact to derive the formula to find the y-intercept. i.e., the \(y\)-intercept of a function is of the form \((0, y)\). Here are the steps to find the \(y\)-intercept of a function \(y = f(x)\),Jan 18, 2024 · To compute the equation of the line passing through points (x1, y1) and (x2, y2): Compute the slope as a = (y2-y1) / (x2-x1). Compute the intercept as b = y1 - a × x1. The equation you need reads y = a × x + b, with a an b computed as above. If x2 = x1, you cannot compute a — the line is vertical and has equation x = x1. To compute the equation of the line passing through points (x1, y1) and (x2, y2): Compute the slope as a = (y2-y1) / (x2-x1). Compute the intercept as b = y1 - a × x1. The equation you need reads y = a × x + b, with a an b computed as above. If x2 = x1, you cannot compute a — the line is vertical and has equation x = x1.To compute the equation of the line passing through points (x1, y1) and (x2, y2): Compute the slope as a = (y2-y1) / (x2-x1). Compute the intercept as b = y1 - a × x1. The equation you need reads y = a × x + b, with a an b computed as above. If x2 = x1, you cannot compute a — the line is vertical and has equation x = x1.Determine the rise between the two points. To do this, you must compare the difference in y of the two points. Begin with the first point, the point that is the farthest left on the graph, and count up until you reach the y-coordinate of the second point. The rise can be positive or negative; that is, you can count up or down to find it.Remember that slope is rise/run, or change in y over change in x. Find two points on the line that have clean, whole numbers as coordinates. Then use the ... f (x) Free y intercept calculator - find function's y-axis intercept step-by-step. The straight line through two points will have an equation in the form \(y = mx + c\). We can find the value of \(m\), the gradient of the line, by forming a right-angled triangle using the ...AboutTranscript. Learn how to write an equation in slope-intercept form (y=mx+b) for the line with a slope of -3/4 that goes through the point (0,8). We identify the slope (m) and y-intercept (b) to create our equation y = (-3/4)*x + 8. Created by Sal Khan and Monterey Institute for Technology and Education.Each of the points at which a line crosses the [latex]x\text {-axis} [/latex] and the [latex]y\text {-axis} [/latex] is called an intercept of the line. Let’s look at the graph of the lines shown below. First, notice where each of these lines crosses the x – axis: Figure: The line crosses the x-axis at: Ordered pair of this point.That's why moving from an x-value of -1 to 0 will move you down by 2/3 (from a y-value 2 to 4/3, because 2 - 2/3 is 4/3. This can also be written as 6/3 - 2/3 = 4/3) Another way to do this is by plugging the slope and a point to the slope-intercept equation (y = mx + b) to solve for the y-intercept. I'll use the point (-1, 2). y = mx + bTo find the y-intercept using two points, we first need to calculate the slope (m). Consider two points on the line, for example, (3, 5) and (6, 11). The slope is calculated using the formula: For the points (3, 5) and (6, 11), the slope m is calculated as: Once the slope is determined, the next step is to find the y-intercept, b.If we know the X-Intercept and the Y-Intercept, then we have two points. With two points, we can define the slope of the line and, indeed, an equation for the line through those two points. Using your example, suppose the X-Intercept is 8 and Y-Intercept is 11. Then we know that (8, 0) ( 8, 0) and (0, 11) ( 0, 11) are points on this line.This is found by setting the x-value to zero in the function and solving for y. The standard form of a quadratic function is y = a x 2 + b x + c, where the y-intercept is the value of ( c ). To put this into practice, suppose we have a quadratic function f ( x) = 2 x 2 + 3 x + 1. To find the y-intercept, I evaluate the function when ( x = 0 ).The y-intercepts are points where the graph of a function or an equation crosses or “touches” the [latex]y [/latex]-axis of the Cartesian Plane. You may think of this as a …Now we will utilize the point-slope formula, which is: y - y₁ = m (x - x₁) Let y₁ be any given y coordinate and x₁ be any given x coordinate. Let's use (1,-2), but you can use either or coordinates. y-2 = 3(x- (-1)) y-2 = 3 (x+1) y-2=3x+3. y=3x+5. That's the equation …We see that it has moved 2 points between the 2 points. Now that we have find rise and run, by placing it into the #(rise)/(run)# equation, we can find the gradient, which is #-3/2#. Now the final part is to find the y-intercept. the y-intercept is when x=0 or when the line crosses over the y axis.In this example, we outline the general steps for graphing a line using slope-intercept form. Step 1: Solve for y to obtain slope-intercept form. − x + 2y = 4 − x + 2y+ x = 4+ x 2y = x + 4 2y 2 = x + 4 2 y = 1x 2 + 4 2 y = 1 2x + 2. Step 2: Identify the y …How do you find the equation of a line? To find the equation of a line y=mx-b, calculate the slope of the line using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. Substitute the value of the slope m to find b (y-intercept).Y = mx + b is the equation for a straight line. “B” is the point value of where the line intercepts the y axis, called the y intercept. “M” is the value of the slope of the line. “...
y-intercept\:y=\frac{x^2+x+1}{x} y-intercept\:f(x)=x^3 ; y-intercept\:f(x)=\ln(x-5) y-intercept\:f(x)=\frac{1}{x^2} y-intercept\:y=\frac{x}{x^2-6x+8} y-intercept\:f(x)=\sqrt{x+3} …. Gps shock collar
The slope of the line is the value of , and the y-intercept is the value of . Slope: y-intercept: Slope: y-intercept: Step 2. Find two points on the line. Step 3. Graph the line using the slope, y-intercept, and two points. Slope: y-intercept: Step 4 ...Feb 6, 2024 · You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y = 3x - 6; This is slope intercept form, y = 3x - 6. Slope is the coefficient of x so in this case slope = 3; How to Find the y-Intercept. The y-intercept of a line is the value of y when x=0. It is the point where the line crosses the y axis. The National Cancer Institute Division of Cancer Prevention (DCP) is devoted to research on cancer prevention, interception, screening and early detection, and symptom science. To ...China is bullying its neighbors over territorial claims in the South China Sea, home to crucial shipping routes and oil and gas reserves. Last week, China announced that it would b...We have been given two points (the y-intercept is point (0,4)) so we can use the point-slope formula to find the equation for the line. First, we must find the slope which requires two points: The slope can be found by using the formula: m = y2 − y1 x2 − x1. Where m is the slope and ( x1,y1) and ( x2,y2) are the two points on the line.Step 1: Note down the coordinates of the two points lying on the line as (x 1 1, y 1 1) and (x 2 2, y 2 2 ). Step 2: Apply the two point formula given as, y −y1 y − y 1 = y2−y1 x2−x1 (x− x1) y 2 − y 1 x 2 − x 1 ( x − x 1). Step 3: Simplify the obtained equation to the form, y = mx + b to represent the line. We're asked to determine the intercepts of the graph described by the following linear equation: 3 x + 2 y = 5. To find the y -intercept, let's substitute x = 0 into the equation and solve for y : 3 ⋅ 0 + 2 y = 5 2 y = 5 y = 5 2. So the y -intercept is ( 0, 5 2) . The y-intercept is the point in a function where the value of the x-coordinate is zero. By definition, a function has only one y-intercept. The x-intercept is the point in a functi...Algebra. Graph y=2x-8. y = 2x − 8 y = 2 x - 8. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 2 2. y-intercept: (0,−8) ( 0, - 8) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.How? That means [latex]m = 9 [/latex], and from the given point [latex]\left ( {0, – \,2} \right) [/latex] we have [latex]x = 0 [/latex] and [latex]y = – \,2 [/latex]. Let’s substitute these known values into the slope-intercept …This is found by setting the x-value to zero in the function and solving for y. The standard form of a quadratic function is y = a x 2 + b x + c, where the y-intercept is the value of ( c ). To put this into practice, suppose we have a quadratic function f ( x) = 2 x 2 + 3 x + 1. To find the y-intercept, I evaluate the function when ( x = 0 ).Practice Problems. Write the slope intercept form for the lines below. Problem 5. A line with a slope of 2 and a y-intercept of 12. Problem 6. A line with a slope of 3 and a y-intercept of -5. Problem 7. A line with a slope of ½ and a y-intercept of 7. Worksheet (Worksheet with answer key on this page's topic)Method 1. Finding the Intersection of Two Straight Lines. Download Article. 1. Write the equation for each line with on the left side. If necessary, rearrange the …About. Transcript. In an equation in slope-intercept form (y=mx+b) the slope is m and the y-intercept is b. We can also rewrite certain equations to look more like slope-intercept …You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y = 3x - 6; This is slope intercept form, y = 3x - 6. Slope is the coefficient of x so in this case slope = 3; How to Find the y-Intercept. The y-intercept of a line is the value of y when x=0. It is the point where the line crosses the y axis ... Slope m = (y2-y1)/ (x2-x1) If you mulitply both sides by (x2-x1), then you get point slope form: (y2-y1) = m (x2-x1) Then, they swab a couple of variables to clarify the variables that stay. X2 becomes X, and Y2 becomes Y. And, you have the point slope form. Remember, slope is calculated as the change in Y over the change in X. Y-intercept calculator. Instructions: Use this calculator to find the y-intercept of a line, showing you the process step-by-step. The first thing you need to do is to indicate the line you want to the y-intercept of. You have several options to state the line. You can provide: (1) any linear equation (ex: x + 3y = 2 + \frac {2} {3}x x +3y = 2 ... Oct 6, 2021 · To summarize, any linear equation can be graphed by finding two points and connecting them with a line drawn with a straightedge. Two important and useful points are the \(x\)- and \(y\)-intercepts; find these points by substituting \(y = 0\) and \(x = 0\), respectively. This method for finding intercepts will be used throughout our study of ... The y-intercept, #b#, is found by plugging in #x=0# into the equation, which results in #y=b#, and therefore is the y-intercept. In some cases, if the equation is already arranged for you nicely, like #y=3x+5# , we can easily find the y-intercept for this line, which is #5# ..