# How do you write the equation in point slope form given Point: (1, -7); Slope: -2/3?

May 21, 2018

$y + 7 = - \frac{2}{3} \left(x - 1\right)$

#### Explanation:

The point-slope form of a linear equation is:

$y - {y}_{1} = m \left(x - {x}_{1}\right)$,

where:

$m$ is the slope, and $\left({x}_{1} , {y}_{1}\right)$ is the point.

$m = - \frac{2}{3}$

$\left({x}_{1} , {y}_{1}\right) = \left(1 , - 7\right)$

Plug in the known values.

$y - \left(- 7\right) = - \frac{2}{3} \left(x - 1\right)$ $\leftarrow$ Two negatives make a positive.

$y + 7 = - \frac{2}{3} \left(x - 1\right)$