\(\overline{XY}\) is a line segments with the coordinates X (- 8,- 12) and Y(p,q). if the midpoint of \(\overline{XY}\) is (-4,-2) find the coordinates of Y.

  • A (-6,-2)
  • B (0,8)
  • C (4,10)
  • D (0,4)
waec 2021mathematics

The correct answer is B. (0,8)

The formula for midpoint = \(\frac{x_1 + x_2}{2}\), \(\frac{y_1 + y_2}{2}\)

(-4,-2) = (x,y)

x = \(\frac{x_1 + x_2}{2}\)

-4 = \(\frac{-8 + p}{2}\)

-4 * 2 = -8 + p

-8 + 8 = p

: p = 0

y = \(\frac{y_1 + y_2}{2}\)

-2 = \(\frac{-12 + q}{2}\)

-2 * 2 = -12 + q

-4 + 12 = q

: q = 8

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