Plot the complex number $z=2-4i$ on the graph below.

• A.
• B.
• C.
• D.

Answer: (B)

Verified step by step guidance

1. Identify the real and imaginary parts of the complex number z = 2 - 4i. Here, the real part is 2 and the imaginary part is -4.
2. Locate the real part on the horizontal axis (Re). Since the real part is 2, move 2 units to the right from the origin along the Re axis.
3. Locate the imaginary part on the vertical axis (Im). Since the imaginary part is -4, move 4 units down from the origin along the Im axis.
4. Plot the point where the real part and imaginary part intersect. This point is at (2, -4) on the graph.
5. Label the point with the complex number z = 2 - 4i to indicate its position on the graph.