document.write( "Question 188040: a. Suppose that a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. (Hint: Write an equation using two points in the form (x,p)).\r
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Algebra.Com's Answer #140978 by jojo14344(1513)\"\" \"About 
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\n" ); document.write( "Take given: (x1,p1)=> (42,$20);; (x2,p2)=> (52,$10)
\n" ); document.write( "We get the Slope via Point Slope Form \"system%28m=%28p%5B2%5D-p%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29\"
\n" ); document.write( "Substituting,
\n" ); document.write( "\"m=%2810-20%29%2F%2852-42%29=-10%2F10=%28red%28-1%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Thru point (42,20) via Slope-Intercept Form, y=mx+b ==> p=mx+b
\n" ); document.write( "\"20=%28-1%29%2842%29%2Bb\"
\n" ); document.write( "\"20=-42%2Bb\" ---> \"b=20%2B42=62\", Price (Y) Intercept\r
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\n" ); document.write( "\n" ); document.write( "*Also the same when you try point (52,10) for the Price Intercept.\r
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\n" ); document.write( "\n" ); document.write( "It follows ==> p=-x+62, Answer\r
\n" ); document.write( "\n" ); document.write( "We see graph,
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\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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