Question

Find the equation of the line through the points (-2,-9) and (5,12)
y =

Answer 1

y - 12 = 3(x - 5)

Explanation:

Going from (-2, -9) to (5, 12), x (the run) increases by 7 and y (the rise) increases by 21. Thus, the slope of this line is m = rise / run = 21/7 = 3.

Using the point-slope formula y - k = m(x - h), we get:

y - 12 = 3(x - 5)