To graph the complex numbers on the complex plane, we treat the real part as the x-coordinate and the imaginary part as the y-coordinate. Let's break it down for each complex number:

1. Complex Number: $-1$

• Real part: $-1$
• Imaginary part: $0$

In the complex plane:

• The point is located on the real axis at $(-1, 0)$.

2. Complex Number: $1 + 3i$

• Real part: $1$
• Imaginary part: $3$

In the complex plane:

• The point is located at $(1, 3)$, meaning 1 unit to the right of the origin (real axis) and 3 units above the real axis (imaginary axis).

These points can be plotted as:

1. $(-1, 0)$ on the real axis.
2. $(1, 3)$ above the real axis.

Would you like a detailed explanation of how the complex plane works, or do you have any questions on this?

Here are 5 follow-up questions that might expand on this:

1. How do you calculate the modulus of a complex number?
2. What is the geometric meaning of the modulus of a complex number?
3. How can we rotate a complex number on the complex plane?
4. What does multiplying a complex number by $i$ do geometrically?
5. How do you find the argument (angle) of a complex number?

Tip: When graphing complex numbers, remember that the real part corresponds to the x-axis, and the imaginary part corresponds to the y-axis.