Question

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

Answer 1

(2, 1) is the answer

Answer 2

Answer:

$F(2,1)$

Step-by-step 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

$Mx=\frac{Dx+Fx}{2}$

substitute the values

$-6=\frac{-14+Fx}{2}$

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

$My=\frac{Dy+Fy}{2}$

substitute the values

$7=\frac{13+Fy}{2}$

Solve for Fy

$14=13+Fy$

$Fy=1$

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