Question

A vertical line contains the points 3,2 and 3,6 use these points and the formula for slope to explain why a vertical lines slope is undefined

Answer 1

see explanation

Explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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

m =
`(6-2)/(3-3)` =
`(4)/(0)`

Since division by zero is undefined then the slope of the vertical line is undefined.