Question

The end point P of a line segment PQ(-3,6) and its mid point is (5,8) Find the coordinates of the end point Q

Answer 1

....................

Answer 2

• (13, 10)

Explanation:

Let Q have coordinates x and y

Using midpoint formula we find the values of x and y

• (- 3 + x)/2 = 5 ⇒ -3 + x = 10 ⇒ x = 10 + 3 ⇒ x = 13
• (6 + y)/2 = 8 ⇒ 6 + y = 16 ⇒ y = 16 - 6 ⇒ y = 10
• Q = (13, 10)