# How do you write an equation of a line given point (1,-3) and m=-4?

Jul 10, 2017

Use the point-slope form of the equation of a line:

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

#### Explanation:

Given: m = -4 and $\left({x}_{1} , {y}_{1}\right) = \left(1 , - 3\right)$:

$y = - 4 \left(x - 1\right) - 3$

Distribute the -4:

$y = - 4 x + 4 - 3$

Combine like terms:

$y = - 4 x + 1 \leftarrow$ this is the equation of the line.