document.write( "Question 1091607: Point M is the midpoint of AB. The coordinates of point A are (-8, 3) and the coordinates of M are (-2, 1). What are the coordinates of point B?\r
\n" );
document.write( "\n" );
document.write( "Thank you! I don't understand too much..): \n" );
document.write( "
Algebra.Com's Answer #706034 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! midpoint between (x1, y1) and (x2, y2) is the average of the x s and the average of the y s \n" ); document.write( "Here, one has the midpoint, so work backward to get the other point. \n" ); document.write( "the midpoint for the x values is -2. One value is -8, so (-8 +x2)/2=-2, the average of the two points is -2 \n" ); document.write( "-2=(-8 +x2)/2 \n" ); document.write( "multiply by 2 and -4=x^2-8, and x2=4. \n" ); document.write( "Do the same thing with y \n" ); document.write( "You can think of it this way. The middle is y=1, and one side is 3. That is two away from the middle, so the other side has to be 2 on the other side of the middle, or -1 \n" ); document.write( "The coordinates of B are (4, -1). \n" ); document.write( "Check by adding the A and B points and taking the average: -8+4 divided by 2 is -4/2=-2. \n" ); document.write( "-1+3/2 is 2/2=1\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |