(A) Given the points (5, -2) and (5, 6);
The slope m, of a line passing through two points is given as;

![\begin{gathered} m=(6-(-2))/(5-5) \\ m=(8)/(0) \\ m=\infty\text{ (undefined)} \end{gathered}]()
The slope of the line passing through the points (5, -2) and (5, 6) is undefined
(B) Given the points (-7, 3) and (-7, -3)
Similarly, the slope is given as;

![\begin{gathered} m=(-3-3)/(-7-(-7)) \\ m=-(6)/(0) \\ m=\infty\text{ (undefined)} \end{gathered}]()
The slope of the line passing through the points (-7, 3) and (-7, -3) is undefined.