Question

What is the slope of the line that passes through the points left bracket, 1, comma, minus, 7, right bracket(1,−7) and left bracket, 1, comma, 13, right bracket(1,13)? Write your answer in simplest form.

Answer 1

Explanation:

13

Answer 2

slope is undefined

Explanation:

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (1, - 7 ) and (x₂, y₂ ) = (1, 13 )

substitute these values into the formula for m

m =
`(13-(-7))/(1-1)` =
`(13+7)/(0)` =
`(20)/(0)`

since division by zero is undefined

Then the slope of the line is undefined