Question

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

A. (10,7)
B. (4,5)
C. (7,10)
D. (-2,-2)

Answer 1

midpoint formula : m = (x1 + x2) / 2 , (y1 + y2) / 2
midpoint is (6,4)
one point is (2,1)...x1 = 2 and y1 = 1

(6,4) = (2 + x2) / 2 , (1 + y1)/2

so 2 + what divided by 2 = 6....
(2 + x) / 2 = 6
2 + x = 6 * 2
2 + x = 12
x = 12 - 2
x = 10

and 1 + what divided by 2 = 4..
(1 + y)/2 = 4
1 + y = 4 * 2
1 + y = 8
y = 8 - 1
y = 7

so ur other endpoint is : (10,7)