Question

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

Answer 1

Refer to the explanation.

Explanation:

Graph:

`2x+3y>=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`.

`2x+3(0)=280`

`2x=280`

Divide both sides by `2`.

`x=280/2`

`x=140`

The x-intercept is `(140,0)`. Plot this point.

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

`2(0)+ 3y=280`

`3y=280`

Divide both sides by `3`.

`y=280/3` or `~~93.33`

The y-intercept is `(0,280/3)` or `(0,~~93.33)`. Plot this point.

Since the relationship between both sides is `>=`, 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]}