Final answer:
The coordinates of point N are (6, 1).
Step-by-step explanation:
To find the coordinates of point N, we first need to find the coordinates of point M, which is the midpoint of the line segment PQ. The coordinates of the midpoint M can be calculated by finding the average of the x-coordinates and the average of the y-coordinates of the endpoints P and Q.
x-coordinate of M = (x-coordinate of P + x-coordinate of Q) / 2 = (-3 + 9) / 2 = 6 /2 = 3
y-coordinate of M = (y-coordinate of P + y-coordinate of Q) / 2 = (-2 + 2) / 2 = 0 / 2 = 0
Therefore, the coordinates of M are (3, 0).
To find the coordinates of N, we can use the midpoint formula again. The coordinates of N can be calculated by finding the average of the x-coordinate of M and the x-coordinate of Q, and the average of the y-coordinate of M and the y-coordinate of Q.
x-coordinate of N = (x-coordinate of M + x-coordinate of Q) / 2 = (3 + 9) / 2 = 12 /2 = 6
y-coordinate of N = (y-coordinate of M + y-coordinate of Q) / 2 = (0 + 2) / 2 = 2 / 2 = 1
Therefore, the coordinates of N are (6, 1).