How do you write the point slope form of the equation given m=-2 and (-5,-2)?

Mar 20, 2017

$y = - 2 x - 12$

Explanation:

Give -

Slope $m = - 2$

Point $\left(- 5 , - 2\right)$

$x = - 5$

$y = - 2$

Find the intercept

$m x + c = y$

$\left(- 2\right) \left(- 5\right) + c = \left(- 2\right)$

$10 + c = - 2$

$c = - 2 - 10$

$c = - 12$

Now, we have -

$c = - 12$

$m = - 2$

$y = m x + c$

$y = \left(- 2\right) x + \left(- 12\right)$

$y = - 2 x - 12$