Question

If the midpoint of AB is (5, -4), and the coordinates of A are (10, -6), then the coordinates of B are:

a) (0, -2)
b) (5, -4)
c) (10, -8)
d) (15, -2)

Answer 1

To find the coordinates of point B given the midpoint of AB and the coordinates of A, you can use the midpoint formula.

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 between two points, (x1, y1) and (x2, y2), is given by:

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

In this case, we are given the coordinates of the midpoint (5, -4) and one endpoint A (10, -6). Let's substitute these values into the formula:

5 = (10 + x2) / 2
-4 = (-6 + y2) / 2

By solving these equations, we can find the values of x2 and y2, which represent the coordinates of point B.