Question

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

Answer 1

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]}