Question

Point M is the midpoint of AB. If the coordinates of M are (5, 4) and the coordinates of A are (-1, 4), what are the coordinates of B?

a) (6, 10)
b) (-8, -4)
c) (11, 4)
d) (-6, 8)

Answer 1

The coordinates of point B are (2, 4).

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints A and B can be found by taking the average of the x-coordinates and the average of the y-coordinates of A and B.

In this case, the x-coordinate of M is 5 and the x-coordinate of A is -1. So, the x-coordinate of B is the average of 5 and -1, which is (5+-1)/2 = 4/2 = 2.

The y-coordinate of M is 4 and the y-coordinate of A is 4. So, the y-coordinate of B is the average of 4 and 4, which is (4+4)/2 = 8/2 = 4.

Therefore, the coordinates of point B are (2, 4).