Question

plot numbers on the complex plane
plot -2 in the complex plane.
remove point
plotting numbers on the complex plane

Explanation:

Step1: Recall complex number form

A complex number is \( z = a + bi \), where \( a \) is the real part and \( b \) is the imaginary part. For \( -2 \), we can write it as \( -2 + 0i \). So the real part \( a=-2 \) and the imaginary part \( b = 0 \).

Step2: Locate on complex plane

In the complex plane, the horizontal axis (Real axis, \( Re \)) represents the real part, and the vertical axis (Imaginary axis, \( Im \)) represents the imaginary part. To plot \( -2+0i \), we find the point on the real axis (since \( b = 0 \)) at \( a=-2 \) (move 2 units to the left of the origin on the real axis) and \( b = 0 \) (on the imaginary axis, the origin's height for the imaginary part).

Answer:

To plot \( -2 \) (which is \( -2 + 0i \)) on the complex plane:

• The real part is \( -2 \), so move to \( x=-2 \) on the real (horizontal) axis.
• The imaginary part is \( 0 \), so stay on the real axis (since the imaginary axis value is \( 0 \)).

The point should be plotted at the coordinate \( (-2, 0) \) on the complex plane (where the first coordinate is the real part and the second is the imaginary part). If we consider the given grid, we find the position on the real axis (horizontal) at \( -2 \) (between \( -3 \) and \( -1 \), exactly at \( -2 \)) and on the imaginary axis (vertical) at \( 0 \) (the middle horizontal line).