# What is the slope intercept form of the line passing through (-16,-3)  with a slope of -3/2 ?

Jan 20, 2016

$2 y + 3 x = - 41$

#### Explanation:

The given equation of course can be simply be compared to the general slope intercept equation
$y - {y}_{o} = m \left(x - {x}_{o}\right)$
With ${y}_{o} = - 16$ and ${x}_{o} = - 3$ and $m = - \frac{3}{2}$ we get
$y + 16 = - \frac{3}{2} \left(x + 3\right)$
Simplifying the equation, we get
$2 y + 32 = - 3 x - 9 \setminus \implies 2 y + 3 x = - 41$ which is what we started out to find.