# How do you graph 2x+3y>=280?

Aug 8, 2018

Refer to the explanation.

#### Explanation:

Graph:

$2 x + 3 y \ge 280$

Find the x- and y-intercepts.

Make both sides equal in order to find the intercepts.

X-intercept: value of $x$ when $y = 0$.

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

$2 x + 3 \left(0\right) = 280$

$2 x = 280$

Divide both sides by $2$.

$x = \frac{280}{2}$

$x = 140$

The x-intercept is $\left(140 , 0\right)$. Plot this point.

Y-intercept: value of $y$ when $x = 0$

$2 \left(0\right) + 3 y = 280$

$3 y = 280$

Divide both sides by $3$.

$y = \frac{280}{3}$ or $\approx 93.33$

The y-intercept is $\left(0 , \frac{280}{3}\right)$ or $\left(0 , \approx 93.33\right)$. Plot this point.

Since the relationship between both sides is $\ge$, draw a straight, solid line through the points. Then shade in the area above the line.

graph{y>=-2/3x+280/3 [-10, 10, -5, 5]}