Question

Point A is (3, 7), and the midpoint is M(4, 5). Find the coordinates of the missing endpoint B, using the midpoint formula.

Answer 1

To find the coordinates of the missing endpoint B, use the midpoint formula and plug in the given values for point A and the midpoint M. The coordinates of the missing endpoint B are (5, 3).

Step-by-step explanation:

To find the coordinates of the missing endpoint B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M is the average of the x-coordinates and the average of the y-coordinates of the two endpoints. In this case, we are given the coordinates of point A (3, 7) and the midpoint M (4, 5). To find the coordinates of B, we can use the following formula:

x-coordinate of B = 2 * x-coordinate of M - x-coordinate of A

y-coordinate of B = 2 * y-coordinate of M - y-coordinate of A

Plugging in the values, we have:

x-coordinate of B = 2 * 4 - 3 = 5

y-coordinate of B = 2 * 5 - 7 = 3

Therefore, the coordinates of the missing endpoint B are (5, 3).