Thus, the slope of the line is equal to the negative y-intercept divided by the x-intercept. So, if you substitute the points (0, y) and (x, 0) into the slope formula, you can find the slope. ![]() The intercepts can be treated just as any other points on the line. ![]() You’ll need the slope formula to find the slope: Once you have the x and y intercepts for the line, you can find the slope of the line. How to Find the Slope From the X and Y Intercept Thus, the x-intercept for a line in point-slope form is (x 1 – y 1)/m, or the point (x 1 – y 1)/m, 0). To solve the x-intercept, set the value of y to 0 and solve for x.Ġ – y 1 = m(x – x 1) -y 1 = m(x – x 1) -y 1 / m = m(x – x 1) / m -y 1 / m + x 1 = x – x 1 + x 1 x 1 – y 1 / m = x -y 1 + mx 1 = mx – mx 1 + mx 1 -y 1 + mx 1 = mx (-y 1 + mx 1) / m = mx / m (mx 1 – y) / m = x X-Intercept of a Line in Point-Slope Form ![]() Recall the standard form equation from above:Īx + B(0) = C Ax = C Ax / A = C / A x = C / Aįor a line in standard form, the x-intercept is equal to C/A, or the point (C/A, 0). To find the x-intercept, set the value of y to 0 and solve for x.Ġ = mx + b 0 – b = mx + b -b -b = mx – b / m = mx / m – b / m = xįor a line in slope-intercept form, the x-intercept is equal to -b/m, or the point (-b/m, 0). Recall the slope-intercept form equation from above: X-Intercept of a Line in Slope-Intercept Form You can find the x-intercept of a line by following the same steps as solving the y-intercept, except that instead of setting the value of x to zero, you’ll be setting the value of y to 0. The x-intercept is the x-coordinate of the point on the line that has a y-coordinate equal to 0. The x-intercept of a line or curve is the point where the line crosses the x-axis. The y-intercept for a line expressed in point-slope form is equal to y 1 – mx 1 or the point (0, y 1 – mx 1). Like before, set the value of x to 0 to solve for y. The point-slope form equation is given by: Point-slope form is another commonly used linear equation format. In this variation of the equation, the y-intercept is slightly different:Ī(0) + By + C = 0 By + C = 0 By + C – C = -C By / B = – C / B y = – C / B Y-Intercept of a Line in Point-Slope Form Some uses of the standard form use an alternate version of the equation: So, the y-intercept of the line is equal to C/B or the point (0, C/B). To find the y-intercept for a line in standard form, set the value of x to 0 and solve the equation for y.Ī(0) + By = C By = C By / B = C / B y = C / B Standard form (or general form) is the standard format for the equation of a straight line. So the y-intercept is equal to b, or the point (0, b). ![]() In the slope-intercept formula, the variable b is equal to the y-intercept. Slope-intercept form is one of the most frequently used equations to express a straight line. Y-Intercept of a Line in Slope-Intercept Form For a line, you can use the following methods to calculate the point where the line crosses the y-axis. Given the equation of a line, you can find the y-intercept by setting the value of the x variable in the equation equal to zero (0).įor example, given a linear function f(x) = y, you can find the y-intercept by setting x to 0 so that f(0) = b.
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