Verified Answer :

Slope, m= \(\frac{change in y}{change in x}\)
slope, m= \(\frac{1--6}{8-8}\)
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 :-

\(m=\dfrac{d-b}{c-a}\)

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 :-

\(m=\dfrac{-6-1}{8-8}=\dfrac{-7}{0}=\infty\)

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