What are the intercepts of #3x+2y=12#?

1 Answer
May 24, 2018

Answer:

The x-intercept is #(4,0)#.
.
The y-intercept is #(0,6)#.

Explanation:

Given:

#3x+2y=12#

This is the formula for a linear equation in standard form. This is the easiest equation for finding the intercepts. To find the x- and y-intercepts, substitute #0# for one variable, and solve for the other.

X-intercept: value of #x# when #y=0#

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

#3x+2(0)=12#

#3x=12#

Divide both sides by #3#.

#x=12/3#

#x=4#

The x-intercept is #(4,0)#.

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

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

#(0)+2y=12#

#2y=12#

Divide both sides by #2#.

#y=12/2#

#y=6#

The y-intercept is #(0,6)#.

graph{3x+2y=12 [-10.92, 11.58, -3.825, 7.425]}