Question

How do you find the x and y intercepts for `y=2x`?

Answer 1

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

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

This means that the line passes through the origin.

Explanation:

The x-intercept is the value of `x` when `y=0`.

Substitute `0` for `y` and solve for `x`.

`0=2x`

Divide both sides by `0`.

`0/2=(2x)/x`

Simplify.

`0=x`

x-intercept: `(0,0)`

The y-intercept is the value of `y` when `x=0`.

Substitute `0` for `x` and solve for `y`.

`y=2(0)`

Simplify.

`y=0`

y-intercept: `(0,0)`

graph{y=2x [-10, 10, -5, 5]}