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29-07-2022
Mathematics

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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.

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Medunno13 Medunno13

30-07-2022

Answer:

5

Step-by-step explanation:

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

Substituting these coordinates into the equation of the line,

[tex]2(1)+3(1)-k=0 \\ \\ 5-k=0 \\ \\ k=5[/tex]

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