Substance y = ax for
Then
When x=0 the equations is conclusion with y=0. Therefore, if a is any number, there is the intersection of origin.
When x not = 0 then
If
therefore a=1
Then ,substance a=1 for
Then 0=3
It's not true. Therefore, as a=1, there is only intersection of origin.
If a not =1
And
The coordinates of the intersections without the origin are below.
The only sings differ from the two coordinates, so these two points are the central symmetry with the central point of origin.
For these coordination numbers are the real number:
By the way
Therefore
For
and so
or
and so
Summary
As , there is the only intersection of the origin.
As or ,there are three intersections.
The intersections are
The two intersections of the first are the central symmetry with the center point of (0,0).