# How do you write the point-slope form of the equation passing through (5, -1) with a slope of 6?

Jun 17, 2018

Point - Slope form of the line is color(violet)((y + 1) = 6 (x - 5)

#### Explanation:

Point-Slope form of line is $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

Given $\left({x}_{1} , {y}_{1}\right) = \left(5 , - 1\right) , m = 6$

Hence the Point - Slope form of the line is

$\left(y + 1\right) = 6 \left(x - 5\right)$