in which quadrant is the number 6 - 8i located on the complex plane?

Explanation:

Step1: Recall complex - plane rules

In the complex plane, a complex number (a + bi) has real part (a) and imaginary part (b). The real - axis is the horizontal axis and the imaginary - axis is the vertical axis. Quadrant I: (a>0,b > 0); Quadrant II: (a<0,b>0); Quadrant III: (a<0,b < 0); Quadrant IV: (a>0,b < 0).

Step2: Identify real and imaginary parts

For the complex number (6-8i), the real part (a = 6) and the imaginary part (b=-8).

Step3: Determine the quadrant

Since (a = 6>0) and (b=-8 < 0), the number (6 - 8i) is in Quadrant IV.

Answer:

D. IV