Question

K is the midpoint of line segment PQ. P has coordinates (-9, -4) and K has coordinates of (-1, 6). What are the coordinates of Q?

A. (-11, 8)
B. (-5, 1)
C. (5, 10)
D. (7, 16)

Answer 1

The coordinates of point Q are (-11, 8).

Step-by-step explanation:

To find the coordinates of point Q, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint, which we have as K(-1, 6), are equal to the average of the coordinates of the endpoints (P and Q).

Let's call the coordinates of point Q (x, y). Using the midpoint formula, we can set up the following equations:

-1 = (-9 + x)/2

6 = (-4 + y)/2

Solving these equations, we find that x = -11 and y = 8. Therefore, the coordinates of point Q are (-11, 8), which corresponds to option A.