Question

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.​

Answer 1

5

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`