# How do you write the point slope form of an equation for a lint that passes through (-2, 4) with m=-3?

Apr 10, 2017

$y = - 3 x - 2$

#### Explanation:

Use the generl point-slope equatio of, $y = m x + b$

Where $m =$slope and $b =$y-intercept

Given that $m = - 3$ the equation of the line now looks like $y = - 3 x + b$

Given $P \left(- 2 , 4\right)$, subsitute the $x$ and $y$ coordinates into the equation and solve for $b$,

$4 = - 3 \cdot - 2 + b$
$4 = 6 + b$
$b = - 2$

Therefore the equation of the line with a slope of $- 3$ that passes through the point $\left(- 2 , 4\right)$ is,

$y = - 3 x - 2$

graph{-3x-2 [-10, 10, -5, 5]}