Question

How do you find the slope for x=1?

Answer 1

Its slope is undefined.

Explanation:

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

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

The given equation `x=1` describes a vertical line passing through all points of the form `(1, y)`, including `(x_1, y_1) = (1, 0)` and `(x_2, y_2) = (1, 1)`.

So its slope is given by the formula:

`m = (y_2-y_1)/(x_2-x_1) = (1-0)/(1-1) = 1/0`

which is undefined.