Question

What is the slope of a line perpendicular to Line AB given A (6,2) and B (-3,2)

Answer 1

Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m of AB using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)

m = $\frac{2-2}{-3-6}$ = $\frac{0}{-9}$ = 0

A line with a slope of zero is a horizontal line, parallel to the x- axis.

Thus a line perpendicular to AB is a vertical line parallel to the y- axis.

The slope of a vertical line is undefined