Question

Points A and B have coordinates A(-4, 2) and B(3,-6). Find the coordinates of point P, the weighted average of points A and B, in which point A

has a weight of 2 and point 8 has a weight of 5.
A) (-2,-²)
B) (-2)
C) (1,-)
D) (1,-13)

Answer 1

C) P(1, -26/7)

Explanation:

You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.

Weighted average

Each of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.

P = (2A +5B)/(2+5)

P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7

P = (1, -26/7)

The coordinates of P are (1, -26/7).