# How do you write the equation in point slope form passing through (-5, -2) and parallel to the line whose equation is y=-3x+4?

Mar 3, 2018

$y + 2 = - 3 \left(x + 5\right)$

#### Explanation:

because the new line is parallel, it will have the same slope as the original equation.
slope$= - 3$

we know the slope and a point, so we can use the point slope formula:
$y - {y}_{1} = m \left(x - {x}_{1}\right)$
${y}_{1}$ is the y coodinate,
${x}_{1}$ is the x coordinate,
and m is the slope

plug the values in
$y + 2 = - 3 \left(x + 5\right)$