Question

Line d passes through points (5, 2) and (10, 10). Line e is perpendicular to d. What is the slope of line e?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

Answer:

-5/8

Step-by-step explanation:

Step 1:  Find the slope of line d.  As we move from point (5, 2) to point (10, 10), x increases by 5 and y increases by 8.  Thus, the slope of line d is

m = rise / run = 8/5.

Step 2:  Find the negative reciprocal of this m = 8/5.  Doing so will give us the slope of line e or of any other line perpendicular to line d:

Slope of line e:  -(5/8) = -5/8