To find the equation of the line passing through the points (-4, 7) and (8, -2) in slope-intercept form (y = mx + b), we need to follow these steps:
1. Calculate the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1), where (x1, y1) = (-4, 7) and (x2, y2) = (8, -2).
2. Substitute the values of one of the points and the slope into the point-slope form of a linear equation:
y - y1 = m(x - x1), where (x1, y1) = (-4, 7) and m is the slope calculated in step 1.
3. Simplify the equation to the slope-intercept form (y = mx + b) by solving for y:
y = mx - mx1 + y1.
4. Once you have the equation in slope-intercept form, you can identify the slope (m) and the y-intercept (b) values in the equation.
By following these steps, you can determine the equation of the line passing through the given points in slope-intercept form.
