Question

plane write all of the complex numbers that are graphed in the complex plane shown. a: + i b: + i c: + i d: + i done

Explanation:

Step1: Recall complex - number form

A complex number is of the form $a + bi$, where $a$ is the real - part (x - coordinate) and $b$ is the imaginary - part (y - coordinate) in the complex plane.

Step2: Determine point A

For point A, the x - coordinate (real part) is $- 2$ and the y - coordinate (imaginary part) is $3$. So the complex number is $-2 + 3i$.

Step3: Determine point B

For point B, the x - coordinate (real part) is $-1$ and the y - coordinate (imaginary part) is $-1$. So the complex number is $-1-1i$.

Step4: Determine point C

For point C, the x - coordinate (real part) is $3$ and the y - coordinate (imaginary part) is $-3$. So the complex number is $3-3i$.

Step5: Determine point D

For point D, the x - coordinate (real part) is $4$ and the y - coordinate (imaginary part) is $2$. So the complex number is $4 + 2i$.

Answer:

A: $-2+3i$
B: $-1 - 1i$
C: $3-3i$
D: $4 + 2i$