# How do you write y + 7 = 2(x + 5) in standard form?

May 20, 2015

I will assume that this equation describes a line that you want in standard slope intercept form:

$y = m x + c$

...where m is the slope and c is the intercept.

First subtract $7$ from both sides of your equation, then expand and rearrange as follows:

$y = 2 \left(x + 5\right) - 7$

$= \left(2 \times x\right) + \left(2 \times 5\right) - 7$

$= 2 x + 10 - 7$

$= 2 x + 3$

$y = 2 x + 3$ is in the standard slope intercept form,

with slope $m = 2$ and intercept $c = 3$.