# How do you graph -6x+9y=-18?

Nov 23, 2016

$- 6 x + 9 y = - 18$

This is a linear equation, because the equation does not have any exponents. Graph it by putting the equation into either slope-intercept form $y = m x + b$ or point-slope form $y - {y}_{1} = m \left(x - {x}_{1}\right)$.

Isolate y by first adding 6x to each side:
$9 y = 6 x - 18$

Divide each side by 9:
$y = \frac{2}{3} x - 2$

Now graph the line $y = \frac{2}{3} x - 2$ by first plotting the y intercept at $\left(0 , - 2\right)$, then connecting points with a slope of $\frac{2}{3}$.

graph{2/3x-2 [-10, 10, -5, 5]}