# How do you write y = -4/5x-7 in standard form?

Jul 18, 2017

You must get it into the form $a y + b x + c = 0$

#### Explanation:

Start by multiplying everything with 5

$y = - \frac{4}{5} x - 7 \iff 5 y = - 4 x - 35$

Now we add $4 x + 35$ to both sides

$5 y = - 4 x - 35 \iff 5 y + 4 x + 35 = 0$

and this is the standard form