document.write( "Question 1195340: The x and y intercepts of a straight line are -4 and 5 respectively. A point M on the straight line is equidistant from the x and y axes. Determine the coordinates of the point M \n" ); document.write( "

Algebra.Com's Answer #827808 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "The x and y intercepts of a straight line are -4 and 5 respectively.
\n" ); document.write( "A point M on the straight line is equidistant from the x and y axes.
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document.write( "The x-intercept is the point (-4,0).\r\n" );
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document.write( "The y-intercept is the point (0,5).\r\n" );
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document.write( "The slope of the line is  m =  = .\r\n" );
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document.write( "An equation of the line is  y-5 = ,  or  y - 5 = .\r\n" );
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document.write( "If the point M in this line is equidistant from the x- and y- axes,\r\n" );
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document.write( "then we should place x = y in the last equation.\r\n" );
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document.write( "It gives  x - 5 = ,  or  4x - 20 = 5x,  -20 = 5x - 4x,  x = -20.\r\n" );
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document.write( "Thus the coordinates of the point M are  (x,y) = (-20,-20).    ANSWER\r\n" );
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