Question

What is the slope of a line perpendicular to a line that's passes through (3,8) and (1,-4)?

A. -1/6
B. -1/2
C. 2
D. 6

Answer 1

-1/6

Explanation:

First find the slope of the line through the points

m = (y2-y1)/(x2-x1)

= (-4-8)/(1-3)

= -12/-2

=6

Now we need to find the slope of the line that is perpendicular

Perpendicular lines multiply to -1

6 * mp = -1

mp = -1/6