So we draw the graph of 4x+6y = 240

If we let x be 0 then we can just put our finger over the x term,
so that all we see is:
                           6y = 240
                            y = 40

So the y intercept is (0,40).

And we plot it and label it, like this:




                        4x+6y = 240
If we let y be 0 then we can just put our finger over the y term,
so that all we see is:
                        4x    = 240
                            x = 60

So the x intercept is (60,0).

And we plot it and label it like this:



Then we get a ruler and draw a line connecting them:



The x-intercept is when x, the number of movie rentals is 0, which
is when there are no game rentals at all, and the $240 is made by
renting only movies.
 
The y-intercept is when y, the number of game rentals is 0, which
is when there are no movie rentals at all, and the $240 is made by
renting only games.

Edwin