document.write( "Question 131771This question is from textbook Algebra by prentice hall
\n" ); document.write( ": I cannot figure out how to find the slope without seeing a graph. find the slope of the line passing through each pair of points then write the equation of the line (2,5)and(4,8)
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\n" ); document.write( " find the rate of change for each situation. walking 3 blocks in 10 min. and 12 blocks in55min. thank you so much for helping me.
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Algebra.Com's Answer #96196 by solver91311(24713)\"\" \"About 
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The slope is given by \"%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29\". Just decide which point will be 1 and which will be 2 (it doesn't matter), and plug in the numbers. If (2,5) is point 1, then \"x%5B1%5D=2\", and \"y%5B1%5D=5\".\r
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\n" ); document.write( "\n" ); document.write( "Given two points you need to use the two point form of the equation of a line:\r
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\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D=%28%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29%29%28x-x%5B1%5D%29\"\r
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\n" ); document.write( "\n" ); document.write( "Again, just plug in the numbers and do the arithmetic\r
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\n" ); document.write( "\n" ); document.write( "\"y-5=%28%285-8%29%2F%282-4%29%29%28x-2%29\"
\n" ); document.write( "\"y-5=%28%28-3%29%2F%28-2%29%29%28x-2%29\"
\n" ); document.write( "\"y-5=%283%2F2%29%28x-2%29\"
\n" ); document.write( "\"2y-10=3%28x-2%29\"
\n" ); document.write( "\"2y-10=3x-6\"
\n" ); document.write( "\"-3x%2B2y=-6%2B10\"
\n" ); document.write( "\"3x-2y=-4\" is the equation in standard (\"ax%2Bby=c\" form.\r
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\n" ); document.write( "\n" ); document.write( "For your other problem, it is done exactly the same way. The rate of change is the same as the slope. Your points are (3,10) and (12,55). Use \"%28y%5B1%5D-y%5B2%5D%29%2F%28x%5B1%5D-x%5B2%5D%29\" to calculate the slope.\r
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