document.write( "Question 1049306: What is the distance between P(0, 14) and Q(5, -2)? \n" ); document.write( "
Algebra.Com's Answer #664866 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the equation for the length of a straight line is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = sqrt((x2-x1)^2 + (y2-y1)^2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in your problem:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x1,y1) = (0,14)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x2,y2) = (5,-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "these points are assigned by you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you could just have easily assigned as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x1,y1) = (5,-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x2,y2) = (0,14)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for this equation it makes no difference which of the points is assigned to (x1,y1) and which of the points is assigned to (x2,y1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the only thing that is required is that the two points be the end points of the line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you plug this values into the equation and you get the length of the line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation would become:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = sqrt( (5-0)^2 + (-2-14)^2 )\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "or it would become:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = sqrt( (0-5)^2 + (14-(-2))^2 )\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "either way, your answer will be that y = sqrt(281).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that is the straight line distance between (0,14) and (5,-2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a good tutorial on the distance between two points formula and calculation techniques.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.purplemath.com/modules/distform2.htm \n" ); document.write( " |