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

3.5

Explanation:

Given points are ,

• G(-2,3)
• H (5,1)

Firstly find the slope of the line passing through these two points . Therefore ,

=> m = y₁ - y₂ / x₁ - x ₂

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

=> m = -2/7

• The slope of line perpendicular to it will be negative of reciprocal of the slope . Let m' be the slope of perpendicular line .

=> m' = -1/m

=> m' = -1 ÷ -2/7

=> m' = -1 × -7/2

=> m' = 7/2 = 3.5

Hence the slope of the line perpendicular to the given line is 3.5 .