Question

Given AB with A (8,9) and midpoint (12, -), find the coordinate of Point B.

a) (16, -9)
b) (12, -9)
c) (8, -9)
d) (4, -9)

Answer 1

To find the coordinate of point B, use the formula for finding the midpoint of a line segment. The coordinate of point B is (16, -9).

Step-by-step explanation:

To find the coordinate of point B, we can use the formula for finding the midpoint of a line segment. The midpoint is the average of the x-coordinates and the average of the y-coordinates of the two endpoints.

Given that the midpoint is (12, -), we can substitute the x-coordinate (12) into the formula to find the average of the x-coordinates: (8 + x-coordinate of point B) / 2 = 12. Solving for x-coordinate of point B, we get 8 + x-coordinate of point B = 24, which gives us the x-coordinate of point B as 16.

Similarly, we can substitute the y-coordinate (-) into the formula to find the average of the y-coordinates: (9 + y-coordinate of point B) / 2 = -. Solving for y-coordinate of point B, we get 9 + y-coordinate of point B = -, which gives us the y-coordinate of point B as -9.

Therefore, the coordinate of point B is (16, -9).