Question

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

Answer 1

`x=2/5`
No `y` intercept
Slope = undefined
The graph will be a vertical line from `y=-`infinity to `y=`infinity at `x=2/5`

Explanation:

`5x-2=0` Isolate `x` and its coefficients:
`5x=2` Isolate `x`:
`x=2/5`

This is a horizontal line, so it has no `y` intercept and its slope is undefined (slope is rise over run, and since the graph doesn't "run" it is division by 0).
The graph will be a vertical line from `y=-`infinity to `y=`infinity at `x=2/5`, because, no matter what `y` is, `x=2/5`