Question

Find the slope of the line that passes through each pair of points.
6. E(6, 8), F(6, –2)

Answer 1

slope is undefined

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = E(6, 8) and (x₂, y₂ ) = F(6, - 2)

m =
`(-2-8)/(6-6)` =
`(-10)/(0)` ← undefined

Since division by zero is undefined then the slope is undefined.

This means the line is vertical and parallel to the y- axis