Question

Line segment MN has a midpoint of (7, 3.5). Point N is located at (14, 7). What are the coordinates for point M? A.(0, 0) B. (10.5, 5.25) C.(21, 10.5) D.(28, 14)

Answer 1

Apply the midpoint formula:

$m=\frac{x1+x2}{2},\frac{y1+y2}{2}$

Where:

m = (7, 3.5)

(x1,y1) = (xm,ym)

(x2,y2) = (xn,yn) = (14,7)

For the x coordinate:

mx = (x1+x2) /2

7 = (xm + 14 ) /2

Solve for xm

7(2) = xm +14

14 = xm +14

14-14 = xm

0 = xm

y-coordinate:

my = (y1+y2) /2

3.5 = (ym + 7 ) /2

3.5 (2) = ym+7

7 = ym +7

7-7 = ym

ym =0

Coordinate of point m = (xm,ym) = (0,0) - option A