Question

Fg has a midpoint at m(9,9.5). point g is at (10,14). Find the coordinates of point F. Write the coordinated: as decimals or integers.

F = _______

Answer 1

To find the coordinates of point F, we can use the midpoint formula and solve for the unknown variables. The coordinates of point F are (8, 5).

Step-by-step explanation:

To find the coordinates of point F, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint are the average of the coordinates of the endpoints. Let's denote the coordinates of point F as (x, y). We know that the midpoint, M, is (9, 9.5) and point G is (10, 14).

Using the midpoint formula, we can set up the following equations:

1. (x + 10) / 2 = 9
2. (y + 14) / 2 = 9.5

Solving these equations, we find that x = 8 and y = 5. Therefore, the coordinates of point F are (8, 5).