# How do you find the equation given (-4,-5) with slope -3/2?

Jul 27, 2016

$y = - \frac{3}{2} x - 11$

#### Explanation:

Since given a point and slope find the equation of the line using the $\textcolor{b l u e}{\text{point-slope form}}$

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y - {y}_{1} = m \left(x - {x}_{1}\right)} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) \text{ a point}$

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

Substitute these values into the equation.

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

distribute the bracket and simplify.

$\Rightarrow y + 5 = - \frac{3}{2} x - 6 \Rightarrow y = - \frac{3}{2} x - 11 \text{ is the equation}$