Question

(50 points)

A complex number is graphed as a point on the complex plane below.

Which of the following is the complex number graphed as a point in the complex plane?

z = 2+4 i
z = -4+2 i
z = -2-4 i
z = 2-4 i

Answer 1

D) z = 2 - 4i

Explanation:

A complex number (z) is a number of the form
`z=a + bi`, where
`a` and
`b` are real numbers and
`i` is the imaginary unit.

In the complex plane, the x-coordinate represents the real part of the complex number, and the y-coordinate represents the imaginary part.

So, for the point (2, -4) graphed in the complex plane, the real part is 2 and the imaginary part is -4. Therefore, the complex number that represents the point is:

`\Large\boxed{\boxed{z = 2 - 4i}}`