Question

How do you find the slope of the line `x=-7`?

Answer 1

This is a vertical line so has undefined slope.

Explanation:

If a line passes through points `(x_1, y_1)` and `(x_2, y_2)` then its slope `m` is given by the formula:

`m = (Delta y)/(Delta x) = (y_2 - y_1) / (x_2 - x_1)`

In the case of the line `x=-7`, let us use the distinct points `(-7, 0)` and `(-7, 1)` in this formula to find:

`m = (y_2 - y_1) / (x_2 - x_1) = (1 - 0) / (-7 - (-7)) = 1/0` which is undefined.