# What is the equation in standard form of the line which passes through (4, -2) and has a slope of -3?

The equation of the line passing through $\left(4 , - 2\right)$ with a slope of $- 3$ is $y = - 3 x + 10$.
Using point-slope form, $y - {y}_{1} = m \left(x - {x}_{1}\right)$ where $m$ is the slope and ${x}_{1}$ and ${y}_{1}$ are a given point on the line.
$y - \left(- 2\right) = - 3 \left(x - 4\right)$
$y + 2 = - 3 x + 12$
$y = - 3 x + 10$