Question

What is the slope of the line through the points (5, 2) and (5, -3)?

Answer 1

The slope of a line passing from two points `A(x_a,y_a)` and `B(x_b,y_b)` is:

`m=(Deltay)/(Deltax)=(y_a-y_b)/(x_a-x_b)`,

but in this case we can notice that `x_a=x_b` so the line is vertical, so there is not defined the slope, or, better, the slope is infinite.