Question

which point shows the location of $5 - 2i$ on the complex plane below?
chart of complex plane with points a, b, c, d and multiple - choice options: point a, point b, point c, point d

Explanation:

Step1: Recall complex plane coordinates

A complex number \( a + bi \) is plotted as \( (a, b) \) on the complex plane (x - real, y - imaginary).
For \( 5 - 2i \), \( a = 5 \), \( b=-2 \).

Step2: Analyze each point

• Point A: Likely has positive y (imaginary) part, not -2.
• Point B: Likely negative y but x not 5.
• Point C: x = 5, y = -2 (matches \( 5 - 2i \)).
• Point D: x not 5, y not -2.

Answer:

point C