Nope.
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yes a graph has to start from a point 0.
a line graph
If y = ax and a = 0, then y=0. No matter what x is, y is still 0. Therefore any graph of y=ax (where a=0) will simply be a line at y=0, which is the x-axis.
No. The 4 points are (4, 0), (0, 4), (-4, 0) and (0, -4).