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)![]() ![]() ![]() You can put this solution on YOUR website! Find the radius using Distance Formula for points (-1,6) and the center(2,-1)....\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D, (-1,6) to (2,-1) SAME AS D, (x,y) to (2,-1). \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The line containing given endpoint and circle center: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "y=mx+b \n" ); document.write( "b=y-mx \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "- \n" ); document.write( " \n" ); document.write( " \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. \n" ); document.write( " |