Question

A motor cyclist is moving along the line $x-y=2$ and another motor cyclist is moving along the line $x-y=4$ . Find out their moving direction.

Answer 1

$x-y=2\Rightarrow a_1=1,b_1=-1$...(1)

$x-y=4\Rightarrow a_2=1,b_2=-1$...(2)

$\frac{a_1}{a_2}=\frac{b_1}{b_2}$

Therefore lines are parallel to each other