Question 579544
{{{-3x+2y=-6}}} is a linear equation, and the graph will be a straight line.
If you can plot two good points from that line, connecting them with a straight line is all you have to do.
For each point you need and x value and the corresponding y value.
Usually, choosing x=0 and/or y=0 is a good idea.
For x=0, {{{-3*0+2y=-6}}} --> {{{2y=-6}}} --> {{{2y/2=-6/2}}} --> {{{y=-3}}}
That gives you the point (0,-3)
For x=0, {{{-3x+2*0=-6}}} --> {{{-3x=-6}}} --> {{{(-3x)/(-3)=(-6)/(-3)}}} --> {{{x=2}}}.
That gives you the point (2,0)
{{{drawing(300,300,-2,8,-5,5,
grid(1),
blue(circle(0,-3,0.2)),blue(circle(2,0,0.2)),
blue(line(-2,-6,8,9))
)}}} The line has a slope of {{{3/2}}} because the line rises 3 units as it runs 2 units to the right.