Question

Line m contains the points G(-2, 3) and H (5, 1).

What is the slope of a line perpendicular to line m?

Answer 1

The slope of line m can be found using the slope formula:

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

m = (1 - 3)/(5 - (-2))

m = (-2)/(7)

m = -0.286

To find the slope of a line perpendicular to line m, we need to take the negative reciprocal of m:

slope = -1/m

slope = -1/(-0.286)

slope = 3.496

Therefore, the slope of a line perpendicular to line m is 3.496.