document.write( "Question 1124597: The centre of a circle is on the line y=2x-3. The circle also passes through A(5,2) and B(3,-2). Determine the equation of the circle. \n" ); document.write( "
Algebra.Com's Answer #740921 by MathLover1(20855) You can put this solution on YOUR website! a circle is on the line \n" ); document.write( "\n" ); document.write( "graph a line and given points:\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( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "find coordinates of the midpoint of A( \n" ); document.write( "\n" ); document.write( "( \n" ); document.write( "\n" ); document.write( "( \n" ); document.write( "\n" ); document.write( "perpendicular lines have slopes negative reciprocal to each other\r \n" ); document.write( "\n" ); document.write( "so, our perpendicular line, \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( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "line is:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let's add it to the graph\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the point where lines \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "-------------------solve system; since left sides are same, we have\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( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now find \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, intersection point is: C( \n" ); document.write( "\n" ); document.write( "add to graph\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "now we need radius \n" ); document.write( "since circle also passes through A( \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C( \n" ); document.write( "A( \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( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add circle to the graph\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and, your equation of the circle is: \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "plug in values:C( \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |