A line segment has a midpoint of (6, 4) and an endpoint of (2, 1). What is the other endpoint of the line segment?

1 Answer
Nov 10, 2015

therefore the required point is ( x_1,y_1 )= (10,6)

Explanation:

A mid point is ;

((x_1 + x _ 2)/2 , (y_1+y_2)/2 ) = (6,4){Given in problem }

We are given
(x_2,y_2) = (2,1)

Now equations ;

(x_1 + 2)/2 = 6

=> x_1 = 10

(y_1 + 2)/2 = 4

=> y_1 = 6

therefore the required point is ( x_1,y_1 )= (10,6)