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. (10.5, 5.25) O B. (21, 10.5) O C. (28, 14) O D. (0,0)

Answer 1

The formula for calculating the midpoint of two coordinates MN is expressed as;

M(X, Y) =[(x1+x2)/2, (y1+y2)/2]

Given the coordnates

Midpoint M(7, 3.5) and N (14, 7)

Required

Coordinates of N

From the formula;

X = x1+x2/2

From the coordinates given, X = 7, x1 = 14, we can get x2

7 = 14+x2/2

7(2) = 14+x2

14 = 14+x2

x2 = 14-14

x2 = 0

Similarly;

Y = y1+y2/2

From the coordinates given, Y = 3.5 and y1 = 7, we can get y2;

3.5 = 7+y2/2

2(3.5) = 7+y2

7 = 7 + y2

y2 = 7-7

y2 = 0

Hence the coordinate of M is at (0,0). Option D is correct