Question

What are the intercepts of the line `y = 5x - 10`?

Answer 1

The `x`-intercept is at `(2, 0)` and the `y`-intercept is at `(0, -10)`.

Explanation:

To find the `x`-intercept, plug in `0` for `y`:
`0 = 5x - 10`

Solve for `x`. Add `color(blue)10` to both sides:
`10 = 5x`

Divide both sides by `color(blue)5`:
`10/color(blue)5 = (5x)/color(blue)5`

`2 = x`

Therefore,
`x = 2`

The `x`-intercept is at `(2, 0)`.

To find the `y`-intercept, plug in `0` for `x`:
`y = 5(0) - 10`

Solve for `y`. Simplify:
`y = 0 - 10`

`y = -10`

The `y`-intercept is at `(0, -10)`.

Hope this helps!