# How do you write the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope of −3?

Jun 3, 2017

$y - 6 = - 3 \left(x + 1\right)$

#### Explanation:

The point-slope fom of equation of a line passing through point

$\left({x}_{1} , {y}_{1}\right) \mathmr{and} \left(- 1 , 6\right)$ having a slope $m = - 3$ is

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

$y - 6 = - 3 \left(x + 1\right)$ [Ans]