For y-intercept, x=0, as any y-intercept would be located at a x-coordinate of 0.
Put 0 into x:
4(0) - 3y =12
-3y = 12
y = 12/ -3
y = - 4
Therefore the y-intercept is -4.
Similar as the above,for x-intercept, y=0, as any x-intercept would be located at a y-coordinate of 0.
Put 0 into y:
4x - 3(0) = 12
4x = 12
x = 12/4
x = 3
Therefore, the x-intercept is 3.
Hope it helps!