So, in order to graph this function with the greatest ease, one should put the equation in another form (y=mx+b). So, we have the original equation as follows:
Add 3x to each side in order to move the x's to the side opposite the y's.
-3x+3x+5y=3x-10 --> 5y=3x+10 (Note that the 3x and the -3x cancel one another.)
From here, we divide each side by five, so the equation looks like...
5y/5=(3x+10)/5 --> y=(3/5)x+2 (The 5 in the 5y cancels with the five below, and the 5 on the right side is distributed between the two numbers in the sum in the parentheses.)
This is now in the y=mx+b form.
We now choose two values for x, which we will then use to find points on the graph; say, x=0,1.
And when x=1...
From this, we know two points: (0,2) and (1,2.6). From here, simply draw the points on graph paper, put a line through them, and you have your graph.