Question

If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is

P(x, y) and if x + y – 10 = 0, find the value of k.​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

The coordinates of the mid-point of the line segment joining A (3, 4) and B (k, 6) are

$( \frac{3 + k}{2} \: \frac{4 + 6}{2} ) = \frac{3 + k}{2} \: 5 \\ then \: {\frac{3 + k}{2}( 5)} \: = (x \: y) \\ therefore \: \frac{3 + k}{2} = x \: and \: 5 = y \\ It \: is \: given \: that \: x+y-10=0 \\ 3+k=10 \\ k = 7$

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