Answer:
Let’s rewrite both expressions first
y=3/2x+3
-3x+2y=6
The first expression is already plotted on the graph, so we only need to work on the second one.
Let’s turn the second equation into slope-intercept form. We can later use this to graph.
-3x+2y=6
*add 3x on both sides*
-3x+2y=6
+3x +3x
__________
2y=3x+6
*divide each number by 2*
2y=3x+6
2y/2=3x/2+6/2
y=3/2x+3
Since this is the same equation as the one graphed, it means there are an infinite number of solutions. If one were to graph this, the points would be the same as the original.
Hope this helps comment below for more questions :)