Question

What is the slope of the line that passes through the points (-6,1) and (-6,-4)?

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 ) = (- 6, 1 ) and (x₂, y₂ ) = (- 6, - 4 )

substitute these values into the formula for m

m =
`(-4-1)/(-6-(-6))` =
`(-5)/(-6+6)` =
`(-5)/(0)`

in mathematics division by zero is undefined

then the slope of the line is undefined