# What is the slope intercept form of the line with a slope of -5/3  that passes through  (-3,2) ?

Jun 6, 2017

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

#### Explanation:

Slope-intercept form is written as $y = m x + c$.

Given the information you provided, we already know the slope/gradient ($m$).

$y = -$$\frac{5}{3}$$x + c$

Next, we have to find the y-intercept ($c$) by substituting the given point into the equation and solving for $c$.

$2 = -$$\frac{5}{3}$$\left(- 3\right) + c$
$2 = 5 + c$
$c = - 3$

Now that we have the values for the slope/gradient ($m$) and y-intercept ($c$), we can write the equation in slope-intercept form.

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