# How do you find a standard form equation for the line (5,-7) and is parallel to the line 5y=8-2x?

##### 1 Answer
Apr 3, 2018

$2 x + 5 y + 25 = 0$

#### Explanation:

For a line to be parallel, the gradient must be the same
$5 y = 8 - 2 x$
$y = \frac{8}{5} - \frac{2}{5} x$

So the gradient is $- \frac{2}{5}$

Using the point gradient formula,
$\left(y + 7\right) = - \frac{2}{5} \left(x - 5\right)$
$5 y + 35 = - 2 x + 10$
$2 x + 5 y + 25 = 0$