Question

M(-1, 13) is the midpoint of segment RS. The coordinates of S are (4, 12). What are the coordinates of R? *

Answer 1

• R = (-6, 14)

Explanation:

Given

• Segment RS and midpoint M(-1, 13)
• S = (4, 12)
• R = ?

Solution

Midpoint formula

• x = (x1 + x2)/2 and y = (y1 + y2)/2

Coordinates of point R

• -1 = (4 + x)/2 ⇒ 4 + x = -2 ⇒ x = -6
• 13 = (12 + y)/2 ⇒ 12 + y = 26 ⇒ y = 14
• R = (-6, 14)