graph each number in the complex plane 
1: -1 
2: 1 + 3i

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.

Graph each number in the complex plane: 1: -1, 2: 1 + 3i

Learn how to graph the complex numbers -1 and 1 + 3i on the complex plane. This tutorial explains how the real and imaginary components of a complex number are plotted, with points at (-1, 0) and (1, 3). Perfect for students in Grades 9-12 studying complex numbers.

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