# What is `y-4=2/3 (x+7)` in slope intercept form and standard form?

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`y-4=2/3(x+7)`

**Slope intercept form**

Slope intercept form looks like this `y=kx+l` so we want only `y` on the left side.

`y=2/3(x+7)+4`

Multiply `2/3` with the bracket.

`y=2/3x+14/3+4`

`y=2/3x+26/3` **<-- Slope intercept form**

**Standard form**

Standard form looks like this `Ax+By=C` where `A` is positive integer and `B` and `C` are integers. So we want both variables on the left. We will start by multiplying the whole equation by 3 because we want all coefficients to be integers.

`3y-12=2(x+7)`

`3y=2(x+7)+12`

`3y=2x+14+12`

`-2x+3y=26`

Now we multiply by `-1` because `A` must be positive.

`2x-3y=-26` **<-- Standard form**