# How do you write an equation in point-slope form for the line through the given point with the given slope (4,2); m = -5/3?

Mar 8, 2018

$y - 2 = - \frac{5}{3} \left(x - 4\right)$

#### Explanation:

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

•color(white)(x)y-y_1=m(x-x_1)

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

$\text{here "m=-5/3" and } \left({x}_{1} , {y}_{1}\right) = \left(4 , 2\right)$

$\Rightarrow y - 2 = - \frac{5}{3} \left(x - 4\right) \leftarrow \textcolor{b l u e}{\text{in point-slope form}}$