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.

asked Apr 28, 2023 199k views

0 votes

by Louen

7.3k points

Please log in or register to add a comment.

1 vote

Answer:

Explanation:

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

Substituting these coordinates into the equation of the line,

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

Rahat Zaman answered May 1, 2023

6.7k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

8.2m questions

10.9m answers