Chapter 4.4, Problem 2E

To determine

To graph: the given number in the complex plane.

Explanation of Solution

Given Information:

The complex number $z=-4-2i$

Graph A complex plane is a two dimensional plane, where numbers having both real and imaginary parts are being graphed. A complex number is of the general form a+ib where i denotes the imaginary symbol and the coefficient of i forms the imaginary part of the given number.

Here, the number given is $z=-4-2i$ . Its real part is $a=-4$ and imaginary part is $b=-2$ . The number can be plot in the complex plane as follows.

  

Interpretation

The given number has been plot with the coordinates (-4, -2) in the complex plane.

In the graph, the real part is represented along the x-axis and imaginary part is along the y-axis. Here, both the real and imaginary parts are negative.