Question

given points A(1,5) B(-3,7) C(15,9).
find the equation of line passing through the midpoint of AC and the point B
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Answer 1

given points A(1,5) B(-3,7) C(15,9).find the equation of line passing through the midpoint of AC and the point B

solution : first find midpoint of AC .

using mid point formula, (x, y) = [(x1 + x2)/2, (y1 + y2)/2 ]

so, midpoint of AC = [(1 + 15)/2, (5 + 9)/2 ] = (8, 7)

hence, midpoint of AC is (8, 7)

now equation of line passing through point (8, 7) and Point B(-3, 7) ;

(y - 7) = (7 - 7)/(-3 - 8)(x + 3)

or, y - 7 = 0/-11 (x + 3)

or, y - 7 = 0

or, y = 7

hence, equation of line passing through midpoint of AC and point B is, y - 7 = 0

Answer 2

Here is ur answer..