285,207 views
33 votes
33 votes
The midpoint of AB is M(7,-7) if the coordinates of A are (8,-6) what are the coordinates of B

User NFern
by
2.6k points

1 Answer

11 votes
11 votes

ANSWER:


B(6,-8)

Explanation:

The first thing is to represent the situation as follows

To calculate the value of B we have the following formula for the midpoint:


\begin{gathered} (M_1,M_2)=((x_1+x_2)/(2),(y_1+y_2)/(2)) \\ M_1=(x_1+x_2)/(2) \\ M_2=(y_1+y_2)/(2) \end{gathered}

replacing and solving in each case:


\begin{gathered} 7=(8+x_2)/(2)\rightarrow x_2=7\cdot2-8\rightarrow x_2=6 \\ -7=(-6+y_2)/(2)\rightarrow y_2=-7\cdot2+8\rightarrow y_2_{}=-8 \\ B(6,-8) \end{gathered}

The midpoint of AB is M(7,-7) if the coordinates of A are (8,-6) what are the coordinates-example-1
User Andy Jacobs
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.