Question

One endpoint of a line segment is at (1, 2). The line is bisected by placing the midpoint of the line segment at (5, 8). What are the coordinates of the other endpoint?

a(-4,-6)
b(3.5,5)
c(6,10)
d(9,14)

Answer 1

midpoint formula : (x1 + x2) / 2, (y1 + y2) / 2
(1,2)...x1 = 1 and y1 = 2
(x,y)...x2 = x and y2 = y
now we sub
(1 + x) / 2, (2 + y) / 2 = 5/8

(1 + x) / 2 = 5
1 + x = 5 * 2
1 + x = 10
x = 10 - 1
x = 9

(2 + y) / 2 = 8
2 + y = 8 * 2
2 + y = 16
y = 16 - 2
y = 14

so ur other endpoint is (9,14) <==