document.write( "Question 829590: The midpoint of a line segment is (-3,4). If one endpoint is (2,-1)determine the coordinates of the other endpoint \n" ); document.write( "

Algebra.Com's Answer #499966 by LinnW(1048) $\"\"$ $\"About$

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First find the slope of the line.
\n" ); document.write( "Use the formula $\"%28y2-y1%29%2F%28x2-x1%29\"$
\n" ); document.write( "So for the point (-3,4), x1=-3 and y1=4
\n" ); document.write( "For the point (2,-1) ,x2=2 and y2=-1
\n" ); document.write( "Substituting we get
\n" ); document.write( " $\"%28%28-1%29-%284%29%29%2F%28%282%29-%28-3%29%29\"$
\n" ); document.write( " $\"%28%28-5%29%29%2F%28%282%29%2B3%29\"$
\n" ); document.write( " $\"%28%28-5%29%29%2F%285%29\"$
\n" ); document.write( "slope = m = -1
\n" ); document.write( "x length = |-3-2| = 5
\n" ); document.write( "y length = |4-(-1)| = 5
\n" ); document.write( "The other endpoint is to the left in this case.
\n" ); document.write( "The end point (xn,yn) = (-3-5,4+5)=(-8,9)
\n" ); document.write( "So (-8,9) is the other endpoint.
\n" ); document.write( "Check tutorLinnWilson.jimdo.com for additional assistance.
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