# How do you write the equation of a line which passes through (0, -3) and has a slope of -5?

Oct 23, 2016

$y = - 5 x - 3$

#### Explanation:

When given a set of points and the slope, use the point slope formula, which is:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

Where ${y}_{1}$ is the $y$ in the set of points
${x}_{1}$ is the $x$ in the set of points
And $m$ is the slope

Plug in the numbers into the equation

$y + 3 = - 5 \left(x - 0\right)$

Distribute the $- 5$ throughout the set of parenthesis

#y+3=-5x+0

Subtract $3$ on both sides of the equation

$y = - 5 x - 3$