Mid-point of the line-segment joining the points (– 5, 4) and (9,

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Question

Mid-point of the line-segment joining the points (– 5, 4) and (9, – 8) is:

Options:

A . (– 7, 6)

B . (2, – 2)

C . (7, – 6)

D . (– 2, 2)

Answer: Option B
:
B

Midpoint of the line segment joining $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is given by $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$
$∴$ Mid-point of the line-segment joining the points (– 5, 4) and (9, – 8) = $(\frac{- 5 + 9}{2}, \frac{4 - 8}{2})$ = (2,-2)

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