document.write( "Question 181552: A certain highway is straight and makes a steep descent toward the city. The highway has a 6% grade, which means that its slope is -6/100. Driving on the road, you notice from elevation signs that you have descended a distance of d = 500 ft. What is the change in your horizontal distance? (Round your answer to the nearest whole number.) \r
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Algebra.Com's Answer #136154 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The definition of slope is slope = rise/run. Another definition
\n" ); document.write( "is slope = (change in vertical distance) / (change in horizontal distance)
\n" ); document.write( "The slope is given by the problem as \"-6%2F100\"
\n" ); document.write( "The problem also gives you (change in vertical distance) which is
\n" ); document.write( "\"500\" ft
\n" ); document.write( "The formula for slope is
\n" ); document.write( "\"m+=+%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29\"
\n" ); document.write( "This formula is used when 2 points are given and the slope is unknown
\n" ); document.write( "I can use this formula because
\n" ); document.write( "\"m+=+-6%2F100\" is given, and
\n" ); document.write( "\"y%5B2%5D+-+y%5B1%5D+500\" is given, and
\n" ); document.write( "\"x%5B2%5D+-+x%5B1%5D\" is the unknown
\n" ); document.write( "\"m+=+%28y%5B2%5D+-+y%5B1%5D%29+%2F+%28x%5B2%5D+-+x%5B1%5D%29\"
\n" ); document.write( "\"-6%2F100+=+500+%2F+%28x%5B2%5D+-+x%5B1%5D%29\"
\n" ); document.write( "Multiply both sides by \"%28x%5B2%5D+-+x%5B1%5D%29\"
\n" ); document.write( "\"%28-6%2F100%29%2A%28x%5B2%5D+-+x%5B1%5D%29+=+500\"
\n" ); document.write( "Multiply both sides by \"100%2F-6\"
\n" ); document.write( "\"%28x%5B2%5D+-+x%5B1%5D%29+=+%28100%2F-6%29%2A500\"
\n" ); document.write( "\"%28x%5B2%5D+-+x%5B1%5D%29+=+-833\" answer
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