Question

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

Answer 1

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

`y = mx+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(x+5)-7`

`= (2xxx)+(2xx5)-7`

`= 2x+10-7`

`= 2x+3`

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

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