document.write( "Question 883631: The ednpoint of a diameter of a circle is (-1,6). If the center is at (2,-1), find the other endpoint of the diameter passing through (-1,6) \n" ); document.write( "
Algebra.Com's Answer #533653 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Find the radius using Distance Formula for points (-1,6) and the center(2,-1)....\r
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\n" ); document.write( "\n" ); document.write( "There is an alternative. The center and the given endpoint form a line. The other endpoint is a point on this line. Now, using Distance formula, and knowing the equation of this line, you are looking for the point this way:\r
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\n" ); document.write( "\n" ); document.write( "D, (-1,6) to (2,-1) SAME AS D, (x,y) to (2,-1). \r
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\n" ); document.write( "\"sqrt%28%2849%29%5E2%2B%289%29%5E2%29=sqrt%28%28x-2%29%5E2%2B%28y%2B1%29%5E2%29\"
\n" ); document.write( "\"sqrt%28130%29=sqrt%28x-2%29%5E2%2B%28y%2B1%29%5E2%29\"
\n" ); document.write( "\"130=%28x-2%29%5E2%2B%28y%2B1%29%5E2\"---actually this is just the equation of the circle.\r
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\n" ); document.write( "\n" ); document.write( "The line containing given endpoint and circle center:
\n" ); document.write( "\"m=%286%2B1%29%2F%28-3%29\"
\n" ); document.write( "\"m=-7%2F3\"
\n" ); document.write( "y=mx+b
\n" ); document.write( "b=y-mx
\n" ); document.write( "\"b=-1-%28-7%2F3%29%2A2\"
\n" ); document.write( "\"-1-%28-14%2F3%29\"
\n" ); document.write( "\"14%2F3-3%2F3\"
\n" ); document.write( "\"b=11%2F3\"
\n" ); document.write( "-
\n" ); document.write( "\"highlight_green%28y=-%287%2F3%29x%2B11%2F3%29\".\r
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\n" ); document.write( "\n" ); document.write( "WHAT NEXT TO DO?
\n" ); document.write( "Substitute for y in the circle equation, simplify, and solve for x. You will get two values. The one you are looking for is the solution OTHER THAN x=-1. Now, use it to find y.
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