Question

How do you find the slope and intercept of `5x-2=0`?

Answer 1

The slope of `(5x-2=0)` is undefined.
It has an x-intercept at `x=2/5`.
It does not have a y-intercept.

Explanation:

`5x-2=0` is the equation of a vertical line.
It could also be written as `x=2/5`

Slope is defined as the change in `y` divided by a corresponding change in `x`
...but since `x` is a constant, the change in `x` is always `0`
so any attempt to calculate the slope results in an attempt to divide by `0`.

`5x-2=0` crosses the X-axis at `x=2/5` (the x-intercept)
but it does not cross the Y-axis (there is no y-intercept).