Find the coordinates of the midpoint of the line segment joining

(i) A(3,0) and B(-5, 4) (ii) P(-11, -8) and Q(8, -2).

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Solution

(i) A(3,0) and B(-5, 4)

$x = \frac{3 - 5}{2} = \frac{- 2}{2} = - 1$

$y = 0 + \frac{4}{2} = 2$
point (-1,2)

(ii) P(-11, -8) and Q(8, -2)

$x = \frac{- 11 + 8}{2} = \frac{- 3}{2}$

$y = \frac{- 8 - 2}{2} = \frac{- 10}{2} = - 5$

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