# How do you graph using the intercepts for 5x - 3y = -33?

Nov 5, 2015

The x-intercept is $- \frac{33}{5}$.

The y-intercept is $11$.

#### Explanation:

$5 x - 3 y = - 33$

X-Intercept

The x-intercept is the value of $x$ when $y$ is $0$.

Substitute $0$ for $y$ and solve for $x$.

$5 x - 3 \left(0\right) = - 33$

Simplify.

$5 x = - 33$

Divide both sides by $5$.

$x = - \frac{33}{5}$

The x-intercept is $- \frac{33}{5}$, or $- 6 \frac{3}{5}$. The point is $\left(- \frac{33}{5} , 0\right)$.

Y-Intercept

The y-intercept is the value of $y$ when $x$ is $0$.

Substitute $0$ for $x$ and solve for $y$.

$5 \left(0\right) - 3 y = - 33$

Simplify.

$- 3 y = - 33$

Divide both sides by $- 3$.

$y = \frac{- 33}{- 3}$

Simplify.

$y = 11$

The y-intercept is $11$. The point is $\left(0 , 11\right)$.

Plot the two points and draw a straight line through the points.

graph{5x-3y=-33 [-14.87, 15.14, -1.92, 13.08]}