Question

The midpoint of a line segment AB is (-4, 3). Points A’s coordinates are (2, -1), find the coordinates of B

Answer 1

Answer:

The coordinates of B are (-10,7).

Step-by-step explanation:

The midpoint between two points is the mean of the coordinates of these two points.

In this question:

Point A(2,-1)

Point B(x,y)

Midpoint is (-4,3)

Finding coordinate x:

-4 = (2 + x)/2

2 + x = -8

x = -8 - 2

x = -10

Finding coordinate y:

3 = (-1 + y)/2

y - 1 = 6

y = 7

The coordinates of B are (-10,7).