Home » Further Mathematics » The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of…

The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of…

The midpoint of M(4, -1) and N(x, y) is P(3, -4). Find the coordinates of N.

  • A.
    (2, -3)
  • B.
    (2, -7)
  • C.
    (-1, -3)
  • D.
    (-10, -7)
Correct Answer: Option B
Explanation

Given (M(4, -1)) and (N(x, y)) with midpoint (P(3, -4)).

(implies frac{4 + x}{2} = 3; frac{-1 + y}{2} = -4)

(therefore x = 2; y = -7)

N = (2, -7)