Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (- 3, - 7 )
m = [tex]\frac{-7-4}{-3+3}[/tex] = [tex]\frac{-11}{0}[/tex]
Since division by zero is undefined then the slope is undefined
This indicates the line is vertical and parallel to the y- axis