# How do you write the point slope form of the equation given (-3,-4) and slope 9/7?

May 8, 2018

$y + 4 = \frac{9}{7} \left(x + 3\right)$

#### Explanation:

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

•color(white)(x)y-y_1=m(x-x_1)

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

$\text{here "m=9/7" and } \left({x}_{1} , {y}_{1}\right) = \left(- 3 , - 4\right)$

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

$y - \left(- 4\right) = \frac{9}{7} \left(x - \left(- 3\right)\right)$

$\Rightarrow y + 4 = \frac{9}{7} \left(x + 3\right) \leftarrow \textcolor{red}{\text{in point-slope form}}$