Question

I don't understand how to find the slope of a line that passes through points

Answer 1

slope is undefined

Explanation:

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (- 9, - 2 ) and (x₂, y₂ ) = (- 9, - 6 )

substitute these values into the formula for m

m =
`(-6-(-2))/(-9-(-9))` =
`(-6+2)/(-9+9)` =
`(-4)/(0)`

division by zero is undefined

Then the slope of the line is undefined

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