document.write( "Question 390462: x=0,2,4,6
\n" ); document.write( "y=2,5,8,11
\n" ); document.write( "I have to write an equation for this pattern and do not understand how to achieve this.
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Algebra.Com's Answer #276854 by richard1234(7193) $\"\"$ $\"About$

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Note that for every increase of 2 for x, y increases by 3. The function is (most probably) linear, with slope of 3/2. Plugging any point (x,)) into $\"y+=+%283%2F2%29x+%2B+b\"$ , we obtain b = 2, so the equation of the line is $\"y+=+%283%2F2%29x+%2B+2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "I say that it is most probably linear because it is possible to define an unusual function that satisfies all the given x,y values. For example, the function $\"y+=+%283%2F2%29x+cos+%28x%2Api%29+%2B+2\"$ is equivalent to $\"y+=+%283%2F2%29x+%2B+2\"$ at the given values, but nowhere else on the function. If we already know the function is linear, then you can be sure that $\"y+=+%283%2F2%29x+%2B+2\"$ is the only function that satisfies. \n" ); document.write( "

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