Final answer:
To find the coordinates of point R, given that Q is the midpoint of PR, we use the midpoint formula. After calculating, we find that the correct coordinates for R would be (-3, 8), which is not listed in the provided options.
Step-by-step explanation:
If Q is the midpoint of line segment PR, it means that Q's coordinates are the average of the coordinates of points P and R. To find the coordinates of R, we can use the midpoint formula, which is:
(x1 + x2)/2, (y1 + y2)/2 = Q(x, y)
We know that P(11, -2) and Q(4, 3). Let's call R's coordinates x and y. Thus, we have:
(11 + x)/2 = 4
(−2 + y)/2 = 3
Solving these equations, we get:
x = 2 × 4 - 11
x = 8 - 11
x = -3
y = 2 × 3 + 2
y = 6 + 2
y = 8
Therefore, the coordinates of R are (-3, 8), which is not listed in the multiple-choice options provided in the question, so it seems there may be a typo in the provided options. The correct coordinates would be R(-3, 8).