Question

1. The midpoint of Line Segment AB is (2, -9). The coordinates of one endpoint are A (4, 10). Find the coordinates of endpoint B.

Answer 1

Answer:

∴ B (0, 28)

Step-by-step explanation:

                         |------------||-------------|-------------||------------|

                      A(4, 10)                 M(2, -9)                    B(x', y')

Mid point = ((x1 + x2)/2, (y1+y2)/2)

x1 = 4, y1 = 10, x2 = x', y2= y', Midpoint = (2, -9)

x coordinate =>

2 = (4 + x')/2

4 = 4 + x'

x' = 0

y coordinate =>

-9 = (10 + y')/2

-18 = 10 + y'

y' = 28

∴ B (0, 28)

Hope this helps! :)