Respuesta :

Slope, m= [tex] \frac{change in y}{change in x} [/tex]
slope, m= [tex] \frac{1--6}{8-8} [/tex]
m= infinite

Answer: d. undefined

Step-by-step explanation:

We know that the slope of a line passing through two points X(a,b) and Y(c,d) is given by :-

[tex]m=\dfrac{d-b}{c-a}[/tex]

The given points : g(8,1) & h(8,-6)

Then , the  slope of a line passing through two points g(8,1) & h(8,-6) is given by :-

[tex]m=\dfrac{-6-1}{8-8}=\dfrac{-7}{0}=\infty[/tex]

Hence, the  slope of the line that contains the points g(8,1) & h(8,-6) is undefined.