How can a line make intercepts on $x$-axis,$y$-axis and $z$-axis?

Question

I am preparing for my Mathematics Exam. While studying Three Dimension Geometry I encountered a question in my textbook which is :

Find the equation of a line which passes through point $(2,3,4)$ and which has equal intercepts on the axes.

I am not able to solve the question because I doubt how can a line intersect all the three axes. To do so it has to bend, then it will not be a line.

Answer 1

doesn't any line through the origin do the trick?