Question

M(1, 3) is the midpoint of segment AB. A is located at (5, -1). What are the coordinates of point B?

A.(-3,7)
B.(3,7)
C.(3,1)
D.(-3,6)

Answer 1

The coordinates of point B are (-3, 7).

Step-by-step explanation:

To find the coordinates of point B, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M(x, y) between two points A(x1, y1) and B(x2, y2) can be found using the following equations:

x = (x1 + x2)/2

y = (y1 + y2)/2

Given that M(1, 3) is the midpoint of segment AB and A is located at (5, -1), we can substitute these values into the midpoint formula to find the coordinates of point B:

x = (5 + x2)/2 => 1 = (5 + x2)/2 => 2 = 5 + x2 => x2 = 2 - 5 = -3

y = (-1 + y2)/2 => 3 = (-1 + y2)/2 => 6 = -1 + y2 => y2 = 6 + 1 = 7

Therefore, the coordinates of point B are (-3, 7).