Final answer:
To find the coordinates of point R, use the midpoint formula by taking the average of the x-coordinates and y-coordinates of points P and Q. Substituting the given values, the coordinates of R are (-3, 8).
Step-by-step explanation:
To find the coordinates of point R, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (Q) between two points (P and R) can be found by taking the average of their respective x-coordinates and y-coordinates.
Given that P(11, -2) and Q(4, 3), we can find the x-coordinate of R by multiplying the x-coordinate of Q by 2 and subtracting the x-coordinate of P. Similarly, we can find the y-coordinate of R by multiplying the y-coordinate of Q by 2 and subtracting the y-coordinate of P.
So, to find the coordinates of R, we can use the formula:
x-coordinate of R = 2 * x-coordinate of Q - x-coordinate of P
y-coordinate of R = 2 * y-coordinate of Q - y-coordinate of P
Plugging in the given values, we get:
x-coordinate of R = 2 * 4 - 11 = -3
y-coordinate of R = 2 * 3 - (-2) = 8
Therefore, the coordinates of R are (-3, 8).