Question

Find the missing endpoint given one endpoint and the midpoint of a line segment. The midpoint of line segment AB is (2,-5) If the coordinates of a point A are (4,4), what are the coordinates of B​

Answer 1

(0, -14)

Explanation:

Midpoint formula:
`(x_m, y_m) = ((x_1+x_2)/(2) , (y_1+y_2)/(2) )`

1. Substitute known value:
   `(2, -5) = ((4 + x_2)/(2) ,(4+y_2)/(2) )`
2. Find
   `x_2` :
   `2 = (4+x_2)/(2)` >>
   `4 = 4 +x_2` >>
   `0 = x_2`
3. Find
   `y_2` :
   `-5 = (4+y_2)/(2)` >>
   `-10 = 4 + y_2` >>
   `-14 = y_2`