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

1 Answer
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]}