Question

Plot the complex number and find its absolute value.
-6 + 2i

Answer 1

|-6+2i| ≈ 6.3246

Explanation:

You want a graph and the magnitude of -6+2i.

Graph

The imaginary part of the number is plotted in the vertical direction. Essentially, the y-axis is renamed the imaginary axis.

The first attachment shows the position of X = -6 +2i.

Magnitude

The magnitude of the number is found using the Pythagorean theorem. It is the hypotenuse of the right triangle that has the real part as one leg and the imaginary part as the other leg.

|-6 +2i| = √((-6)² +2²) = √40 ≈ 6.3246

A good scientific calculator can tell you the magnitude of a complex number.

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