Question

The midpoint of the line segment from P1 to P2 is (-3,4). If P1 = (-8,2), what is P2?

A. (2, 6)
B. (1, 2)
C. (-1, 0)
D. (4, 8)

Answer 1

The midpoint of the line segment from P1 to P2 is (-3,4). If P1 = (-8,2), P2 would be (2,6).

Step-by-step explanation:

To find point P2, we can use the midpoint formula which states that the coordinates of the midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) are given by:

M = ((x1 + x2)/2, (y1 + y2)/2)

Given that the midpoint is (-3, 4) and P1 is (-8, 2), we can substitute these values into the formula to find P2:

(-3, 4) = ((-8 + x2)/2, (2 + y2)/2)

Solving for x2 and y2:

-3 = (-8 + x2)/2 --> -6 = -8 + x2 --> x2 = 2

4 = (2 + y2)/2 --> 8 = 2 + y2 --> y2 = 6

So, P2 is (2, 6).