document.write( "Question 562801: Please help me solve this, I cant figure it out:
\n" ); document.write( "--Create a linear function f(x) that meets the given conditons.
\n" ); document.write( " f(2)=1,f(6)=9
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Algebra.Com's Answer #364698 by issacodegard(60)\"\" \"About 
You can put this solution on YOUR website!
Hi, from what's given we know two points that are to be on the graph of this linear equation (f(x)=mx+b), which is all we need to know. The points are (2,1) and (6,9). So the slope of the linear equation is
\n" ); document.write( "\"m=%281-9%29%2F%282-6%29=%28-8%29%2F%28-4%29=2\"
\n" ); document.write( "So the equation now looks like
\n" ); document.write( "\"f%28x%29=2x%2Bb\"
\n" ); document.write( "We know f(2)=1 so sub in x=2, f(x)=1 and find b
\n" ); document.write( "\"1=2%2A2%2Bb\"
\n" ); document.write( "\"b=-3\"
\n" ); document.write( "So the equation is
\n" ); document.write( "\"f%28x%29=2x-3\"
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