document.write( "Question 957582: What are the values of a and b that complete the table representing the linear function.\r
\n" ); document.write( "\n" ); document.write( "x k(x)
\n" ); document.write( "-3 -5.5
\n" ); document.write( "0 b
\n" ); document.write( "3 9.5
\n" ); document.write( "a 17
\n" ); document.write( "

Algebra.Com's Answer #585182 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"x\"| \"k%28x%29\"
\n" ); document.write( "\"-3+\"|\"-5.5\"
\n" ); document.write( "\"0\"|\"+b\"
\n" ); document.write( "\"3+\"|\"+9.5\"
\n" ); document.write( "\"a+\"|\"1\"\r
\n" ); document.write( "\n" ); document.write( "\"k%28x%29=mx%2Bc\" ....where \"m\" is a slope and \"c\" y-intercept\r
\n" ); document.write( "\n" ); document.write( "\"-3\"|\"-5.5\"\r
\n" ); document.write( "\n" ); document.write( "\"-5.5=m%2A%28-3%29%2Bc\"\r
\n" ); document.write( "\n" ); document.write( "\"-5.5=-3m%2Bc\"\r
\n" ); document.write( "\n" ); document.write( "\"c=3m-5.5\".............1\r
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\n" ); document.write( "\n" ); document.write( "\"3+\"|\"+9.5\"\r
\n" ); document.write( "\n" ); document.write( "\"9.5=m%2A3%2Bc\"\r
\n" ); document.write( "\n" ); document.write( "\"c=9.5-3m\".............2\r
\n" ); document.write( "\n" ); document.write( "from 1 and 2, we have\r
\n" ); document.write( "\n" ); document.write( "\"3m-5.5=9.5-3m\".........solve for \"m\"\r
\n" ); document.write( "\n" ); document.write( "\"3m%2B3m=9.5%2B5.5\"\r
\n" ); document.write( "\n" ); document.write( "\"6m=15\"\r
\n" ); document.write( "\n" ); document.write( "\"m=15%2F6\"\r
\n" ); document.write( "\n" ); document.write( "\"m=5%2F2\"\r
\n" ); document.write( "\n" ); document.write( "find \"c\"\r
\n" ); document.write( "\n" ); document.write( "\"c=9.5-3m\".............2\r
\n" ); document.write( "\n" ); document.write( "\"c=9.5-3%285%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"c=9.5-7.5\"\r
\n" ); document.write( "\n" ); document.write( "\"c=2\"\r
\n" ); document.write( "\n" ); document.write( "so, your equation is: \"k%28x%29=%285%2F2%29x%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "\"x\"| \"k%28x%29\"
\n" ); document.write( "\"-3+\"|\"-5.5\"
\n" ); document.write( "\"0\"|\"+2\" =>\"k%280%29=%285%2F2%290%2B2\"=>\"b=2\"
\n" ); document.write( "\"3+\"|\"+9.5\"
\n" ); document.write( "\"-2%2F5\"|\"1\"=>\"1=%285%2F2%29a%2B2\"=>\"%285%2F2%29a=1-2\"=>\"%285%2F2%29a=-1\"=>\"a=-1%2F%285%2F2%29\"=>\"a=-2%2F5\"\r
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