Represent the number -4/7 on a number line.

The number to be represented is $-\frac{4}{7}$. This is a negative rational number. Since $0 < \frac{4}{7} < 1$, the number $-\frac{4}{7}$ lies between $-1$ and 0 on the number line.

Draw a straight line and mark the integers 0 and $-1$.

Since the denominator of the fraction is 7, divide the segment between 0 and $-1$ into 7 equal parts. Each part represents $\frac{1}{7}$.

Starting from 0, move 4 divisions to the left. The point at the $4^{th}$ division to the left of 0 represents $-\frac{4}{7}$.

Here is the representation: