Question

Would x = 5 be an undefined slope?

Answer 1

The line described by the equation `x=5` has undefined slope.

Explanation:

If a line passes through points `(x_1, y_1)` and `(x_2, y_2)` then its slope 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=5` choose example points `(5, 0)` and `(5, 1)`.

Then `m = (1 - 0) / (5 - 5) = 1/0` which is undefined.