# How do you write the equation in point slope form given (-2, -1), parallel to y = -3/2x - 5?

Jun 3, 2017

$y = - \frac{3}{2} x - \frac{7}{4}$

#### Explanation:

The line is parallel therefore it has the same gradient but different $c$. This gives this equation:

$y = - \frac{3}{2} x + c$

Substitute the point (-2,-1) into the equation to get $c$

$- 1 = - \frac{3}{-} 4 + c$

$- 1 = \frac{3}{4} + c$

$c = - 1 - \frac{3}{4}$

$c = - \frac{7}{4}$

Therefore:

$y = - \frac{3}{2} x - \frac{7}{4}$