Question

Complete the point-slope equation of the line through
(−9,6) and
(−7,−8)
.

Answer 1

y - 6 = -7(x + 9)

Explanation:

As we move right from (−9,6) to (−7,−8), x increases by 2 and y decreases by 14. Thus, the slope of the line segment connecting the two points is

m = rise / run = -14 / 2, or m = -7.

Arbitrarily selecting the point (-9, 6), we write out the point-slope equation:

y - 6 = -7(x + 9)

.