Point M is the midpoint of PQ. The coordinates of point M are (2, 4). The coordinates of point Q are (12,10). What are the coordinates of point P?
To find the coordinates of point P, we can use the midpoint formula:
Midpoint formula: (x_m, y_m) = ((x_p + x_q)/2, (y_p + y_q)/2)
Given:
Point M (x_m, y_m) = (2, 4)
Point Q (x_q, y_q) = (12, 10)
Substitute the given values into the formula:
2 = (x_p + 12)/2
4 = (y_p + 10)/2
Solving for x_p and y_p:
2 = (x_p + 12)/2
4 = (y_p + 10)/2
4 = x_p + 12
8 = x_p
x_p = 8
4 = y_p + 10
-6 = y_p
y_p = -6
Therefore, the coordinates of point P are (8, -6).