# How do you graph -3x+5y< -25?

Jul 10, 2017

Graph:

$- 3 x + 5 y < - 25$

Find the x and y-intercepts by setting $x = 0$ and $y = 0$.

X-intercept

$y = 0$

$- 3 x + 5 \left(0\right) < - 25$

$- 3 x < - 25$

Divide both sides by $- 3$.

$x < \frac{25}{3}$

$x < 8 \frac{1}{3}$

x-intercept: $\left(\frac{25}{3} , 0\right)$ or $\left(8 \frac{1}{3} , 0\right)$

Y-intercept

$x = 0$

$- 3 \left(0\right) + 5 y < - 25$

$5 y < - 25$

Divide both sides by $5$.

$y = - 5$

y-intercept: $\left(0 , - 5\right)$

You now have two points on the line. Plot the points and draw a dashed line through them to indicate that the line is not part of the inequality. Shade in the area below the line to indicate the inequality.

graph{-3x+5y<-25 [-16.02, 16.01, -8.01, 8.01]}