# How do you find an equation of the line passing through (-4,-5) with slope -3/2?

May 27, 2018

General form of the equation is color(purple)(3x + 2y + 22 = 0

#### Explanation:

$m = - \left(\frac{3}{2}\right) , {x}_{1} = - 4 , {y}_{1} = - 5$

Point-Slope form is $\left(y - {y}_{1}\right) = m \cdot \left(x - {x}_{1}\right)$

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

$- 2 y - 10 = 3 x + 12$

General form of the equation is color(purple)(3x + 2 y + 22 = 0