document.write( "Question 601858: find the equation of the line that passes through (-5,3) with its intercepts are numerically equal but opposite in direction. \n" ); document.write( "
Algebra.Com's Answer #380036 by nerdybill(7384)\"\" \"About 
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find the equation of the line that passes through (-5,3) with its intercepts are numerically equal but opposite in direction.
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\n" ); document.write( "Let x = x-intercept at (x,0)
\n" ); document.write( "then
\n" ); document.write( "-x = y-intercept at (0,-x)
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\n" ); document.write( "slope of the two points (x,0) and (0,-x) is:
\n" ); document.write( "m = (y2-y1)/(x2-x1)
\n" ); document.write( "m = (-x-0)/(0-x)
\n" ); document.write( "m = (-x)/(-x)
\n" ); document.write( "m = 1
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\n" ); document.write( "Use the slope (1) and the given point (-5,3) and plug into \"point-slope\" form:
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - 3 = 1(x - (-5))
\n" ); document.write( "y - 3 = 1(x + 5)
\n" ); document.write( "y - 3 = x + 5
\n" ); document.write( "y = x + 8 (this is what they're looking for)\r
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