document.write( "Question 1159381: What is the midpoint between (-1, 11) and (-1, -5)? \n" ); document.write( "
Algebra.Com's Answer #782390 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Answer: (-1, 3)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==================================\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Work Shown:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add up the x coordinates to get
\n" ); document.write( "x1+x2 = -1+(-1) = -2
\n" ); document.write( "Then we cut this result in half
\n" ); document.write( "(-2)*(1/2) = -2/2 = -1
\n" ); document.write( "The x coordinate of the midpoint is x = -1 which is the same as the other original x coordinates.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Repeat similar steps for the y coordinates
\n" ); document.write( "Add: y1+y2 = 11+(-5) = 6
\n" ); document.write( "Divide by two: 6/2 = 3
\n" ); document.write( "The y coordinate of the midpoint is y = 3\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Overall the midpoint is (-1, 3) which is shown by this diagram
\n" ); document.write( "
\n" ); document.write( "We see that the distance from A = (-1,11) to B = (-1,-5) is exactly 11-(-5) = 11+5 = 16 units. Half of this is 16/2 = 8, which is the distance from A to C, or from B to C. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The midpoint C cuts segment AB in half, or bisects it. We can say AC = CB since both pieces are 8 units long.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Because the x coordinates of the original points are the same, we are effectively only concerned with finding the midpoint of the y coordinates. Imagine laying out a horizontal number line with -5 and 11 on it. Finding the midpoint should lead to 3. The number line can be placed vertically if you want, which is basically what the y axis visually represents.
\n" ); document.write( "
\n" ); document.write( "
\n" );