Question

What is the slope of the line that passes through the points (-9,1) and (-9,-6)? 1) Undefined 2) 0 3) 1 4) Infinite

Answer 1

option 1 , undefined

Explanation:

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (- 9, 1 ) and (x₂, y₂ ) = (- 9, - 6 )

substitute these values into the formula for m

m =
`(-6-1)/(-9-(-9))` =
`(-7)/(-9+9)` =
`(-7)/(0)`

Since division by zero is undefined

Then the slope of the line is undefined.