document.write( "Question 496584: Hi! My daughter is working on linear patterns and has this problem amongst them. I understand the concept and the pattern but do not remember from my college days how to write the equation. Here's the problem as on her worksheet:
\n" ); document.write( "\"Write an equation that describes each linear pattern.\"
\n" ); document.write( "X: 1 2 3 4 5 8
\n" ); document.write( "Y: 2 7 12 17 22 37
\n" ); document.write( "I have the equation figured out that Y= 4X-2 with the last number being a variable of 1 for each step. How does she write that in an equation showing the changing number?
\n" ); document.write( " My daughter did not bring her text home and the other sites that I've researched have the standard linear equations but I have been unsuccessful in finding this particular situation. Thank you soo much for your help!
\n" ); document.write( "Sincerely, Monica \n" ); document.write( "

Algebra.Com's Answer #336494 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
\"Write an equation that describes each linear pattern.\"
\n" ); document.write( "X: 1 2 3 4 5 8
\n" ); document.write( "Y: 2 7 12 17 22 37
\n" ); document.write( "---
\n" ); document.write( "Notice that y increases by 5 when x increases by 1.
\n" ); document.write( "That means the slope is 5
\n" ); document.write( "----
\n" ); document.write( "Form: y = mx + b
\n" ); document.write( "solve for \"b\":
\n" ); document.write( "2 = 5*1 + b
\n" ); document.write( "b = -3
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "y = 5x-3
\n" ); document.write( "================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=================== \n" ); document.write( "

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