How do you find the x and y intercept given #3x + 2y = 12#?

1 Answer
Oct 27, 2015

Answer:

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

Explanation:

#3x+2y=12=># equation of a straight line in the standard form.

To find the x-intercept set y to zero then solve for x:
#3x+2*0=12#
#3x=12#
#x=4#
#:.# the x-intercept is at #(4,0)#

To find the y-intercept set x to zero then solve for y:
#3*0+2y=12#
#2y=12#
#y=6#
#:.# the y-intercept is at #(0,6)#