document.write( "Question 500347: Hello my name is Stephnanie. I am trying to learn how to take problems in English such as: The output is six less than one-half of the input. and make it into an equation, and make a x,y table. please help thanks \n" ); document.write( "
Algebra.Com's Answer #338119 by Flannery(124)\"\" \"About 
You can put this solution on YOUR website!
Hi Stephanie, I see you are learning about functions.
\n" ); document.write( "Usually the input value is the x value and the output value is the y value.
\n" ); document.write( "The phrase you used in the question translates to y=1/2x-6.
\n" ); document.write( "That may be written f(x)=1/2x-6 (pronounced function of x is one half of x minus six). It may be expressed as f(x) ONLY if for every input x there is ONLY one output y. Let's make a short table for y=1/2x-6.
\n" ); document.write( "when y=0
\n" ); document.write( "0=1/2x-6; x=12
\n" ); document.write( "when y=1
\n" ); document.write( "1=1/2x-6; x=14
\n" ); document.write( "when y=2
\n" ); document.write( "2=1/2x-6; x=16
\n" ); document.write( "when x=1
\n" ); document.write( "y=1/2(1)-6; y=-5 1/2
\n" ); document.write( "when x=2
\n" ); document.write( "y=1/2(2)-6; y=-5
\n" ); document.write( "when x=3
\n" ); document.write( "y=1/2(3)-6; y=-4 1/2
\n" ); document.write( "Those are six sets of values for your equation. They describe a function. If you graphed this set of points on x,y coordinates they would make a straight line with a slope of 1/2 and an x intercept of (0,12) yintercept of (0,-6). I hope that got you started. \n" ); document.write( "
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