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The complex number given is \(-i - 3\), which can be rewritten as \(-3 - i\). To plot this on the complex plane:

1. The real part of the complex number is \(-3\), which corresponds to the horizontal axis (Real axis).
2. The imaginary part is \(-1\), which corresponds to the vertical axis (Imaginary axis).

To plot \(-3 - i\):
- Start at the origin \((0, 0)\).
- Move 3 units to the left (because the real part is \(-3\)).
- Move 1 unit down (because the imaginary part is \(-1\)).

So, the point to plot is at \((-3, -1)\) on the complex plane.

Would you like any further details or explanations? Here are some related questions for further exploration:

1. What is the geometric interpretation of the magnitude of a complex number?
2. How do you determine the angle (argument) of a complex number on the complex plane?
3. How would you plot the complex conjugate of \(-3 - i\)?
4. What does it mean to add two complex numbers graphically?
5. How can you multiply two complex numbers geometrically?

**Tip:** The horizontal axis represents the real part, and the vertical axis represents the imaginary part when plotting complex numbers.

Learn how to plot the complex number -i - 3 on the complex plane by identifying its real and imaginary components. This problem covers fundamental concepts of complex numbers, including real and imaginary parts. Suitable for students in Grades 9-12.

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