Question

What is the y intercept of the line `x-y=12`?

Answer 1

`y= -12`

`m=1`

Explanation:

Put it in slope intercept form:

`x-y=12`

`-y=-x+12`

`y=x-12`

So the y-intercept is `-12`

graph{x-12 [-16.79, 23.21, -17, 3]}

Answer 2

`y=-12`

The point for the y-intercept is `(0,-12)`.

Explanation:

Given:

`x-y=12`

This equation is the standard form for a linear equation: `Ax+By=C`

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

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

`0-y=12`

`-y=12`

Divide both sides by `-1`. This will reverse the signs.

`y=-12`

The point for the y-intercept is `(0,-12)`.

graph{x-y=12 [-16.23, 15.8, -14.85, 1.17]}