The intercepts of any equation are where the line crosses that axis. For an xintercept the coordinate point would look something like (x,0), for any value of x. The y value would have to be zero to intercept the xaxis. The same for the yintercept, it would look like (0,y) because the x value would have to equal zero.
So to solve your problem substitute zero in for the x value first and solve for y. That would give you:
1/2(0)  2y = 4
0  2y = 4
2y = 4
y=2
So y equals 2 when x equals 0. Your coordinate would be (0,2), that's your yintercept.
Same thing for the xintercept, we can find that value by substituting 0 for y:
1/2x  2(0) = 4
1/2x  0 = 4
1/2x = 4
x=8
So x equals 8 when y equals 0. Your coordinate would be (8,0), that's your xintercept.
7/9/2014

Melissa O.