Question

How do you find the slope given (-2,-7) (-2,0)?

Answer 1

The slope of a line through `(-2,-7)` and `(-2,0)` is undefined.

Explanation:

`(-2,-7)` and `(-2,0)` are two points on a vertical line; vertical lines have "undefined" slopes.

In general calculation of a slope requires division by the difference between two `x` coordinate values. In this case all `x` coordinate values are `(-2)` so the difference would be zero and division by zero is "undefined"

Slope `(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1) = (0-(-7))/((-2)-(-2)) = 7/0 = ???`