You can put this solution on YOUR website! An x-intercept is a point that is on the x axis. Hence, the y coordinate of that point is 0.
if y=0, then
So the x intercept is the point (3,0)
Similarly, a y intercept is a point on a y axis. So, the x coordinate must be 0 there.
if x=0, then
So the y intercept is (0, -12/5}}}
Here is a plot --> http://www.wolframalpha.com/input/?i=4x-5y%3D12