Question

What is the x-intercept of `y=2(x-5)+7`?

Answer 1

`(3/2, 0)`

Explanation:

First, you have to simplify and rewrite this function.
Distribute the `2` to `(x-5)`.
`y=2x-10+7`

Now, simplify.
`y=2x-3`

The x-intercept of a function is the value of `x` when `y=0.` So you would plug in `0` for `y` and solve for `x.`

`y=2x-3`
`0=2x-3`
`3=2x`
`3/2 = x` or `x=3/2`