# How do you write an equation of a line given (3,-2) and m=-4/3?

Oct 17, 2016

$3 y + 4 x = 2$

#### Explanation:

The equation of a line is $y = m x + c$
So the equation of our line is $y = - \frac{4}{3} x + c$
In order to find c use (3,-2)
So $- 2 = - \frac{4}{3} \cdot 3 + c$
$- 2 = - 4 + c$
$c = 2$
So the equation is $y = - \frac{4}{3} x + 2$ or $3 y + 4 x = 2$