# What is the slope intercept form of the line with a slope of -5/4  and y-intercept of  -2/3 ?

Mar 8, 2016

$15 x + 12 y + 8 = 0$

#### Explanation:

The slope intercept form of the line with a slope of $m$ and and $y$-intercept of $c$ is given by

$y = m x + c$

Hence, slope intercept form of the line with a slope of $- \frac{5}{4}$ and and $y$-intercept of $- \frac{2}{3}$ is

$y = \left(- \frac{5}{4}\right) x + \left(- \frac{2}{3}\right)$ and multiplying by $12$ this becomes

$12 y = 12 \times \left(- \frac{5}{4}\right) x + 12 \times \left(- \frac{2}{3}\right)$ or

$12 y = - 15 x - 8$

or $15 x + 12 y + 8 = 0$