Answer :
The formula for calculating equation of a line is expressed as;
[tex]\begin{gathered} m\text{ = }\frac{\Delta y}{\Delta x} \\ m\text{ = }\frac{y_2-y_1}{x_2-x_1} \end{gathered}[/tex]Given the coordinates (-7, 6) and (-7, 7)
x1 = -7
y1 = 6
x2 = -7
y2 = 7
Substitute this values into the equation above;
[tex]\begin{gathered} m\text{ = }\frac{7-6}{-7-(-7)} \\ m\text{ = }\frac{1}{-7+7} \\ m\text{ = }\frac{1}{0} \\ m\text{ = }\infty \end{gathered}[/tex]Hence the slope of the line is infinte