Question

Does the line 3x-5y=6 bisect the join of (5,-2) and(-1,2)?​

Answer 1

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The given line will bisect the join of A (5, −2) and B (−1, 2),

if the co-ordinates of the mid-point of AB satisfy the equation of the line.

The co-ordinates of the mid-point of AB are (2,0)

Substituting x = 2 and y = 0 in the given equation,

we have:

L.H.S. = 3x − 5y = 3(2) − 5(0) = 6 − 0 = 6 = R.H.S.

Hence, the line 3x − 5y = 6 bisect the join of (5, −2) and (−1, 2).

Answer 2

Step-by-step explanation:

Hope it will help you

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