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

47,541 views

30 votes

John Rocha asked Oct 24, 2023

3.1k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

24 votes

Answer:

Explanation:

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

Substituting these coordinates into the equation of the line,

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

2.9k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

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

1.6m questions

2.0m answers