document.write( "Question 250616: 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)). \n" ); document.write( "

Algebra.Com's Answer #185033 by drk(1908) $\"\"$ $\"About$

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You have two coordinates here, but be careful, we want them in (X,p) form: (42,20) and (52,10).
\n" ); document.write( "step 1: we must find the slope with the formula:
\n" ); document.write( " $\"m+=+%28Y2-Y1%29%2F%28X2-X1%29\"$
\n" ); document.write( " $\"m+=+%2820-10%29%2F%2842-52%29\"$
\n" ); document.write( "* m = -1
\n" ); document.write( "--
\n" ); document.write( "step 2: find b value using Y = mx + b and a point from above. I will choose (42,20)
\n" ); document.write( "20 = -1(42) + b
\n" ); document.write( "** b = 62
\n" ); document.write( "--
\n" ); document.write( "step 3: y= mx + b. Put in m and b information.
\n" ); document.write( "P = -1X + 62. \n" ); document.write( "

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