# How do you write an equation of a line with slope -2/3 and x intercept at 3?

Nov 15, 2016

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

#### Explanation:

The equation of a line can be written as $y = m x + c$

$m =$slope and $c$ = y-intercept

The point at the $x -$intercept has coordinates $\left(3 , 0\right)$

In $y = m x + c$

$0 = - \frac{2}{3} \left(3\right) + c$

$0 = - 2 + c$

$2 = c$

The equation is $y = - \frac{2}{3} x + 2$