How do you graph 3x + 2y = 6?

1 Answer
Alan P.
Jul 8, 2015

Find two arbitrary point solutions to the given linear equation and draw a straight line that goes through both points.

Explanation:

Probably the easiest two point to evaluate are the intercepts.
When #x=0#
#color(white)("XXXX")##3(0)+2y = 6# implies #y=3#
and when #y=0#
#color(white)("XXXX")##3x+2(0) = 6# implies #x= 2#

So if we draw a straight line through #(0,3)# and #(2,0)#
we will get the graph for ##3x+2y = 6#

graph{3x+2y = 6 [-4.02, 5.843, -0.292, 4.638]}

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