Question

What are the intercepts of `y = 4x - 5`?

Answer 1

The y-intercept is `-5`.

The x-intercept is `5/4`.

Explanation:

`y=4x-5` is in the form of the slope-intercept formula for a linear equation, `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

By definition, the y-intercept is `-5`.

To find the x-intercept, make `y` equal to zero and solve for `x`.

`0=4x-5`

Add `5` to both sides.

`5=4x`

Divide both sides by `4`.

`5/4=x`

Switch sides.

`x=5/4`

The x-intercept is `5/4`.