Find equation of line whose slope is 3 and which bisects the join of points (-2, 5) and (3, 4)

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Solution

P is mid point of AB and l passes through $P (\frac{1}{2}, \frac{9}{2})$ & has slope $= 3$ ,
$\Rightarrow$ Its equation $\Rightarrow y - \frac{9}{2} = 3 (x - \frac{1}{2})$
$\Rightarrow 2 y - 9 = 3 (2 x - 1)$
$\Rightarrow 2 y - 6 x = 6$
$\Rightarrow y - 3 x = 3$ .

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Similar questions

A (2, 3, 4)

B (4, 5, 8)

The equation of the plane which bisects the line joining the points (-1, 2, 3) and (3, -5, 6) at right angle, is

(- 4, 3)

(2, 5)

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