How do you graph using the intercepts for 5x - 3y = -335x3y=33?

1 Answer
Nov 5, 2015

The x-intercept is -33/5335.

The y-intercept is 1111.

Explanation:

5x-3y=-335x3y=33

X-Intercept

The x-intercept is the value of xx when yy is 00.

Substitute 00 for yy and solve for xx.

5x-3(0)=-335x3(0)=33

Simplify.

5x=-335x=33

Divide both sides by 55.

x=-33/5x=335

The x-intercept is -33/5335, or -6 3/5635. The point is (-33/5,0)(335,0).

Y-Intercept

The y-intercept is the value of yy when xx is 00.

Substitute 00 for xx and solve for yy.

5(0)-3y=-335(0)3y=33

Simplify.

-3y=-333y=33

Divide both sides by -33.

y=(-33)/(-3)y=333

Simplify.

y=11y=11

The y-intercept is 1111. The point is (0,11)(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]}