# What is the equation of the line with slope  m=-4  that passes through  (5,5) ?

Apr 16, 2018

color(green)(4x + y = 20

#### Explanation:

To write equation of the line, given : $m = - 4 , \left({x}_{1} , {y}_{1}\right) = \left(5 , 5\right)$

$\text{Point-Slope Form equation is } \left(y - {y}_{1}\right) = m \cdot \left(x - {x}_{1}\right)$

$\left(y - 5\right) = - 4 \cdot \left(x - 5\right)$

$y - 5 = - 4 x + 20$

color(green)(4x + y = 20, " rearranging"