Does the line y=mx have equal intercepts?

Question

This line passes through the origin and has zero intercepts.

Can this be called as a line having equal intercepts?

What is the definition of intercepts of a line then?

Answer 1

The general equation of a straight line is $ax+by+c=0$ and the intercept with the $x$ axis is the point with $y=0$, i.e.

$x=\dfrac{-c}{a}$ , $y=0$

the intercept with the $y$ axis is the point with $x=0$, i.e

$ x=0$ , $y=\dfrac{-c}{b}$

So you see that the two intercepts are all null iff $c=0$. If $c \ne 0$ than the intercepts have the same value if $ a=b$.