The line 2x + 3y - k = 0 bisects the line segment joining the points A(4, -3) and B(-2, 5). Find the value of k.

John Rocha asked Oct 24, 2023

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John Rocha asked Oct 24, 2023

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24 votes

Answer:

Explanation:

The midpoint of segment AB is (1, 1).

Substituting these coordinates into the equation of the line,

$2(1)+3(1)-k=0 \\ \\ 5-k=0 \\ \\ k=5$

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