# What is the equation in point-slope form and slope intercept form for the line given (−6, 4) and has a slope of 4/3?

Apr 26, 2018

$y - 4 = \frac{4}{3} \left(x + 6\right)$

#### Explanation:

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

•color(white)(x)y-y_1=m(x-x_1)

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

$\text{here "m=4/3" and } \left({x}_{1} , {y}_{1}\right) = \left(- 6 , 4\right)$

$\text{substituting these values into the equation gives}$

$y - 4 = \frac{4}{3} \left(x - \left(- 6\right)\right)$

$\Rightarrow y - 4 = \frac{4}{3} \left(x + 6\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$