Question

Which of the following statements is true about the plot of the expression −1.5+4i ?(1 point) Responses The point will lie below the horizontal axis. The point will lie below the horizontal axis. The point will lie in Quadrant IV of the Argand diagram. The point will lie in Quadrant IV of the Argand diagram. The point will lie in Quadrant II of the Argand diagram. The point will lie in Quadrant II of the Argand diagram. The point will lie to the right of the vertical

Answer 1

To analyze the point represented by the expression \(-1.5 + 4i\) on the Argand diagram (complex plane), we need to examine its components:

• The real part is \(-1.5\).
• The imaginary part is \(4\).

Now, let's break this down:

1. The real part \(-1.5\) indicates the point is on the left side of the vertical axis (since it is negative).
2. The imaginary part \(4\) indicates the point is above the horizontal axis (since it is positive).

Now we can determine the quadrant in which this point lies:

• Since the real part is negative and the imaginary part is positive, the point \(-1.5 + 4i\) lies in Quadrant II of the Argand diagram.

Therefore, the correct statement is: The point will lie in Quadrant II of the Argand diagram.