Respuesta :

hey!

we know that slope = y2-y1/x2-x1

where y2= 5 , y1 = 9 , x2=-2,x1=-2

=> slope , m = 5-9/-2-(-2) = -4/0 = 0

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 ) = (- 2, 9 ) and (x₂, y₂ ) = (- 2, 5 )

m = [tex]\frac{5-9}{-2-(-2)}[/tex] = [tex]\frac{-4}{-2+2}[/tex] = [tex]\frac{-4}{0}[/tex]

since division by zero is undefined then the slope of the line is undefined