Question

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

Explanation:

Step1: Identify point A's coordinates

Point A is at $(-2, 3)$. For a complex number $a+bi$, $a$ is the real (x) coordinate, $b$ is the imaginary (y) coordinate.
So: $a=-2$, $b=3$

Step2: Identify point B's coordinates

Point B is at $(-1, -1)$.
So: $a=-1$, $b=-1$

Step3: Identify point C's coordinates

Point C is at $(4, -4)$.
So: $a=4$, $b=-4$

Step4: Identify point D's coordinates

Point D is at $(4, 1)$.
So: $a=4$, $b=1$

Answer:

A: $\boldsymbol{-2} + \boldsymbol{3}i$
B: $\boldsymbol{-1} + \boldsymbol{-1}i$
C: $\boldsymbol{4} + \boldsymbol{-4}i$
D: $\boldsymbol{4} + \boldsymbol{1}i$