# How do you write an equation of the line with slope=5 passing through point (-8,2) in standard form?

Jun 13, 2018

$5 x - y = - 42$

#### Explanation:

use point slope form first, because you are given a point and a slope:
$y - {y}_{1} = m \left(x - {x}_{1}\right)$
which is:
$y - 2 = 5 \left(x + 8\right)$
Then convert to slope intercept form by distributing the 5 and adding over the 2:
$y = 5 x + 42$
Then subtract the y and 42 to the opposite sides to convert it to standard form:
$5 x - y = - 42$