# How do you write the equation in point slope form given m = 5 and passes through the point (2, -6)?

May 23, 2018

$y + 6 = 5 \left(x - 2\right)$

#### Explanation:

$\text{the equation of a line in "color(blue)"point-slope form}$ is.

•color(white)(x)y-y_1=m(x-x_1)

$\text{where m is the slope and "(x_1,y_1)" a point on the line}$

$\text{here "m=5" and } \left({x}_{1} , {y}_{1}\right) = \left(2 , - 6\right)$

$\text{substitute these values into the equation}$

$y - \left(- 6\right) = 5 \left(x - 2\right)$

$y + 6 = 5 \left(x - 2\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$