document.write( "Question 830754: If M (3,6) and N (9,0) what are the coordinates of the point L if it lies 2/3 of the way from M to N \n" ); document.write( "
Algebra.Com's Answer #500866 by josgarithmetic(39618)![]() ![]() ![]() You can put this solution on YOUR website! Part-way through the solution,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The line MN : \n" ); document.write( " m=(6-0)/(3-9)=-1. \n" ); document.write( "if y=mx+b,then b=y-mx. \n" ); document.write( "pick either point to get b. \n" ); document.write( "b=0-(-1)9 \n" ); document.write( "b=9. \n" ); document.write( "The line MN is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, you want some point ON THE LINE MN, y=-x+9, which is 2/3 of the length distance from M(3,6). Use the distance formula, to first find the distance MN.\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( "If you understand all of that clearly, then you know what to do. Note, the variable point to be found, involves the line MN; the x coordinate as unknown, and the resulting y coordinate as -x+9. \n" ); document.write( "- \n" ); document.write( "You will get two solutions for x and one of them will be what you want but the other will not be. \n" ); document.write( " |