Question

M(−6, 7) is the midpoint of DF¯¯¯¯¯ . The coordinates of point D are (−14, 13) .

What are the coordinates of point F?

Answer 1

(2, 1) is the answer

Answer 2

`F(2,1)`

Explanation:

Step 1

Find the x-coordinate of point F

we know that

The formula to calculate the x-coordinate midpoint between the point D and the point F is equal to

`Mx=(Dx+Fx)/(2)`

substitute the values

`-6=(-14+Fx)/(2)`

Solve for Fx

`-12=-14+Fx`

`Fx=2`

Step 2

Find the y-coordinate of point F

we know that

The formula to calculate the y-coordinate midpoint between the point D and the point F is equal to

`My=(Dy+Fy)/(2)`

substitute the values

`7=(13+Fy)/(2)`

Solve for Fy

`14=13+Fy`

`Fy=1`

The coordinates of the point F are
`(2,1)`