document.write( "Question 174726: wRITE THE EQUATION OF THE LINE L SATISFYING THE GIVEN GEOMETRIC CONDITIONS.\r
\n" ); document.write( "\n" ); document.write( " L has x-intercept (4,0) and Y intercept(0,2) \n" ); document.write( "
Algebra.Com's Answer #129785 by nerdybill(7384)\"\" \"About 
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The \"slope-intercept\" form of a line is:
\n" ); document.write( "y = mx + b
\n" ); document.write( "where
\n" ); document.write( "m is the slope
\n" ); document.write( "b is the y-intercept at (0,b)
\n" ); document.write( ".
\n" ); document.write( "For any two points (on a straight line)
\n" ); document.write( "(x1,y1) and (x2,y2)
\n" ); document.write( "the slope is
\n" ); document.write( "m = (y2-y1)/(x2-x1)
\n" ); document.write( ".
\n" ); document.write( "In your problem, the two points were:
\n" ); document.write( "(4,0) and (0,2)
\n" ); document.write( "Substituting into:
\n" ); document.write( "m = (y2-y1)/(x2-x1)
\n" ); document.write( "m = (2-0)/(0-4)
\n" ); document.write( "m = (2)/(-4)
\n" ); document.write( "m = -1/2
\n" ); document.write( ".
\n" ); document.write( "The problem gave the y-intercept at (0,2)
\n" ); document.write( "Therefore, b = 2
\n" ); document.write( ".
\n" ); document.write( "Plugging it all back into:
\n" ); document.write( "y = mx + b
\n" ); document.write( "we have:
\n" ); document.write( "y = (-1/2)x + 2
\n" ); document.write( "or
\n" ); document.write( "y = -x/2 + 2
\n" ); document.write( " \n" ); document.write( "
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