my name is nay 8th grade student how do i figure out an intercep and does it always have to have (0, ) or ( ,0)? 

Hi Nay, When you graph a line or a curve, the intercepts are the points where the line or curve touches the X or Y axes. Thus, in the diagram below, the intercepts are the blue dots. The Xintercept is the point on the Xaxis and the Yintercept is the point on the Yaxis. Every point on the Xaxis is of the form (p,0) for some number p and every point on the Yaxis has the form (0,q) for some number q. Thus the answer to your question is yes, intercepts have to be (,0) or (0,) Thus, if you have the equation of a line, say
then you know the Yintercept is (0,q) for some number q, and thus x=0. Hence if you let x=0 in the equation you get
Thus the Yintercept is (0,3). Likewise the Xintercept is (p,0) for some p, and hence if you put y=0 in the equation you get
Thus the Xintercept is (3/5,0) Cheers, Penny 

