document.write( "Question 1140108: if point A, having coordinates (9,p) and point B, have coordinates (p,7), lie on a line having slope of -1/3, what is the value of p? \n" ); document.write( "
Algebra.Com's Answer #760584 by MathLover1(20850)\"\" \"About 
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given:\r
\n" ); document.write( "\n" ); document.write( "point \"A\"=(\"9\",\"p\")
\n" ); document.write( "point \"B\"=(\"p\",\"7\")
\n" ); document.write( "\"m=+-1%2F3\"\r
\n" ); document.write( "\n" ); document.write( "use slope formula:\r
\n" ); document.write( "\n" ); document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\".......plug in coordinates of given points\r
\n" ); document.write( "\n" ); document.write( "\"-1%2F3=%287-p%29%2F%28p-9%29\"...........solve or \"p\"\r
\n" ); document.write( "\n" ); document.write( "\"-1%28p-9%29=3%287-p%29\"\r
\n" ); document.write( "\n" ); document.write( "\"-1p%2B9=21-3p\"\r
\n" ); document.write( "\n" ); document.write( "\"3p-1p=21-9\"\r
\n" ); document.write( "\n" ); document.write( "\"2p=12\"\r
\n" ); document.write( "\n" ); document.write( "\"p=6\"\r
\n" ); document.write( "\n" ); document.write( "point \"A\"=(\"9\",\"6\")
\n" ); document.write( "point \"B\"=(\"6\",\"7\")\r
\n" ); document.write( "\n" ); document.write( "now, if you want to check solution, use slope point formula to find equation of that line\r
\n" ); document.write( "\n" ); document.write( "\"y-y%5B1%5D=m%28x-x%5B1%5D%29\".......plug in slope and one point\r
\n" ); document.write( "\n" ); document.write( "\"y-6=-%281%2F3%29%28x-9%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y-6=-%281%2F3%29x%2B3\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-%281%2F3%29x%2B3%2B6\"\r
\n" ); document.write( "\n" ); document.write( "\"y=-%281%2F3%29x%2B9\"\r
\n" ); document.write( "\n" ); document.write( "check the solution on a graph:\r
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