Question 558861
The x-intercept is the point where the line intersects the x-axis, with y=0. Since we all know that the x-intercept point has y=0, we may not complain if you just give us the answer as "x= ..." rather than as the point (x,0).
The y-intercept is the point where the line intersects the y-axis, with x=0.
To find those intercepts just set y to 0 for the x-intercept, and x to 0 for the y-intercept
x-intercept:
120x + 60(0)=720 --> 120x=720 --> x=720/120 --> x=6 or the point (6,0)

y-intercept:
120(0) + 60y=720 --> 60y=720 --> y=720/60 --> y=12 or the point (0,12)
NOTE: Your equation was designed to make finding those intercepts really easy. It could get a little more complicated with other line equations