We know that every linear equation in *x* and *y* represents a straight line. That is *Ax + By + C* = 0, where *A*,* B* and *C* are constants, represents a straight line. Consider two straight lines represented by the following equations:

Also consider the equation

If (*x*_{1}, *y*_{1}) is a point on the straight line given by (3.1) then

This shows that (*x*_{1}, *y*_{1}) is also a point on the locus of (3.3). Therefore, every point on the line given by (3.1) is also a point on the locus of (3.3). Similarly, ...

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