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)\"\" \"About 
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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).
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\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.
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