# How do you write the equation of the line with slope 2/3 through the point (-3, -7) in slope-intercept form?

Nov 10, 2016

y= $\frac{2}{3}$ x -5

#### Explanation:

First write the equation in point-slope form.

The formula is: $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right) .$

$\therefore$It would be y+7=$\frac{2}{3}$ (x+3).

Next solve it for y to get the slope intercept form:

y+7 = $\frac{2 x}{3}$ +2 , or,

y= $\frac{2}{3}$ x -5

This is the point slope form. Slope is $\frac{2}{3}$ and y intercept is -5