document.write( "Question 1100162: The vertices of the triangle OMN are the point O (0,0), M (0,2), N (3,-1) and the point R (1,1). The line through the point N, perpendicular to OM, meets OR produced at T. Find the coordinates of T. \n" ); document.write( "
Algebra.Com's Answer #714655 by KMST(5328)![]() ![]() You can put this solution on YOUR website! Line OM, passing through O (0,0) and M (0,2), is obviously the y-axis. \n" ); document.write( "A line perpendicular to OM would be what we call a horizontal line, \n" ); document.write( "a line with equation y=constant. \n" ); document.write( "If such a line goes through the point N (3,-1), \n" ); document.write( "it has the equation y=-1. \n" ); document.write( "Line OR, passing through O (0,0) and R (1,1), \n" ); document.write( "obviously has the equation y=x, \n" ); document.write( "and meets the line with equation y=-1 at the point with y=x=-1, point T (-1,-1). \n" ); document.write( " \n" ); document.write( "The picture below shows, in blue, \n" ); document.write( "triangle OMN, line OM, \n" ); document.write( "the line through the point N, perpendicular to OM, \n" ); document.write( "and point R (circled). \n" ); document.write( "Line OR is shown in red. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |