Question

15. Write an equation that goes through point (-6, 8) and has a y-intercept of -4.

Answer 1

y = -2x - 4

Explanation:

First, substitute the known values into the slope-intercept form, y = mx + b, where m represents the slope of the line and b represents the y-coordinate of the point of intersection of the line and the y-intercept. We are given that the graph has a y-intercept of -4, so substitute -4 for b. The graph contains the point (-6, 8), so substitute -6 for x and 8 for y.

8 = -6m - 4

12 = -6m

m = -2

Finally, substitute -2 for m and -4 for b to write the equation of the line in the form, y = mx + b.

y = -2x - 4