Question

Use the slope formula to determine the slope of the line that passes through the points A(-5,9) and B(-5,6)

Answer 1

Well, you know if there's the same x value for two different points, you have a vertical line. The slope of a vertical line is undefined, but your formula looks like x=-5.

Answer 2

slope is undefined

Explanation:

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1)  )/(x_(2)-x_(1)  )`

with (x₁, y₁ ) = (-5, 9) and (x₂, y₂ ) = (- 5, 6)

m =
`(6-9)/(-5+5)` =
`(-3)/(0)`

Division by zero is undefined, hence

The slope of the line is undefined