Question

How do you find the x and y intercepts of `y=2x-3`?

Answer 1

`x`-intercept `= 1.5`, `y`-intercept `=-3`

Explanation:

To find an `x`-intercept, find where the graph of `y=2x-3` intercepts the `x`-axis. When a graph intercepts the `x`-axis, `y=0`, so you can substitute `0` for `y`.

`y=2x-3`
`0=2x-3`
`3=2x`
`x=1.5`

Similarly, you can find the `y`-intercept by determining where the graph intercepts the `y`-axis. At this point `x=0`, so substitute `0` for `x`.

`y=2x-3`
`y=2(0)-3`
`y=0-3`
`y=-3`

The `x`-intercept is `1.5`, and the `y`-intercept is `-3`.

You can verify this by graphing the function:
graph{2x-3 [-10, 10, -5, 5]}