Question

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

Answer 1

slope is undefined

Explanation:

Calculate the slope m of AB using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

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

m =
`(2-2)/(-3-6)` =
`(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