# What is the equation in point-slope form and slope intercept form for the line given m = -6, passing through (0, -8)?

May 10, 2018

$y + 8 = - 6 \left(x - 0\right) \text{ and } y = - 6 x - 8$

#### Explanation:

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

•color(white)(x)y-y_1=m(x-x_1)

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

$\text{here "m=-6" and } \left({x}_{1} , {y}_{1}\right) = \left(0 , - 8\right)$

rArry-(-8))=-6(x-0)

$\Rightarrow y + 8 = - 6 x \leftarrow \textcolor{red}{\text{in point-slope form}}$

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

•color(white)(x)y=mx+b

$\Rightarrow y = - 6 x - 8 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$