Question

Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.

(−5, −17) and (−5, −3)

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 ) = (- 5, - 17) and (x₂, y₂ ) = (- 5, - 3)

m =
`(-3+17)/(-5+5)` =
`(14)/(0)`

Since division by zero is undefined, then

the slope of the line is undefined