Question

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

Answer 1

The x-intercept is `-33/5`.

The y-intercept is `11`.

Explanation:

`5x-3y=-33`

X-Intercept

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

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

`5x-3(0)=-33`

Simplify.

`5x=-33`

Divide both sides by `5`.

`x=-33/5`

The x-intercept is `-33/5`, or `-6 3/5`. The point is `(-33/5,0)`.

Y-Intercept

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

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

`5(0)-3y=-33`

Simplify.

`-3y=-33`

Divide both sides by `-3`.

`y=(-33)/(-3)`

Simplify.

`y=11`

The y-intercept is `11`. The point is `(0,11)`.

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

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