To solve the equation |x-12|=0.5x kiana graphed the functions f(x)=|x-12| and g(x)=0.5x on the same set of coordinate axes. she then found that the graphs intersected at the points (8,4) and (24,12) finally she concluded that the solutions of the equation |x-12|=0.5x are x=8 and x=24 which of the following reasons best justifies kiana's conclusion?

a) f(4)= g(12) and f(12)= g(4)
b) f(8)= g(24) and f(24)= g(8)
c) f(8)= g(8) and f(24)= g(24)
d) f(4)= g(4) and f(12)= g(12)