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

1 Answer
Nov 5, 2015

Answer:

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]}