# How do you write the standard form of the equation of the line with slope 3/5 passing through the point (-2,-8)?

Jul 21, 2016

$y = \frac{3}{5} x + 6 \frac{4}{5}$

#### Explanation:

There is a nifty formula for finding the equation of a straight line if we know the slope, $m$ and one point $\left({x}_{1} , {y}_{1}\right)$

$y - {y}_{1} = m \left(x - {x}_{1}\right)$
Substitute $m = \frac{3}{5} \mathmr{and} \left(- 2 , - 8\right)$

y -(-8) = 3/5(x-(-2))

$y + 8 = \frac{3}{5} x + \frac{6}{5}$

$y = \frac{3}{5} x + 1 \frac{1}{5} - 8$

$y = \frac{3}{5} x + 6 \frac{4}{5}$