Algebra.Com's Answer #52842 by jim_thompson5910(35256)  You can put this solution on YOUR website! If you were to plot these points, you would plot them on a graph where x is the number of items produced and y is the cost. If you found the slope of the line between the 2 points, you could find the equation. So lets find the slope: \n" );
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document.write( " Solved by pluggable solver: Finding the Equation of a Line | \n" );
document.write( "First lets find the slope through the points ( , ) and ( , ) \n" );
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document.write( " Start with the slope formula (note: ( , ) is the first point ( , ) and ( , ) is the second point ( , )) \n" );
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document.write( " Plug in , , , (these are the coordinates of given points) \n" );
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document.write( " Subtract the terms in the numerator to get . Subtract the terms in the denominator to get  \n" );
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document.write( " Reduce \n" );
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document.write( " So the slope is \n" );
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document.write( "Now let's use the point-slope formula to find the equation of the line: \n" );
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document.write( " ------Point-Slope Formula------ \n" );
document.write( " where is the slope, and ( , ) is one of the given points \n" );
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document.write( " So lets use the Point-Slope Formula to find the equation of the line \n" );
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document.write( " Plug in , , and (these values are given) \n" );
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document.write( " Distribute  \n" );
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document.write( " Multiply and to get . Now reduce to get  \n" );
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document.write( " Add to both sides to isolate y \n" );
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document.write( " Combine like terms and to get \n" );
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document.write( " Answer: \n" );
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document.write( " So the equation of the line which goes through the points ( , ) and ( , ) is: \n" );
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document.write( " The equation is now in form (which is slope-intercept form) where the slope is and the y-intercept is  \n" );
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document.write( " Notice if we graph the equation and plot the points ( , ) and ( , ), we get this: (note: if you need help with graphing, check out this solver) \n" );
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document.write( " Graph of through the points ( , ) and ( , ) \n" );
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document.write( " Notice how the two points lie on the line. This graphically verifies our answer. \n" );
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document.write( "In other words, the rate of change of the cost to the number of items is $60 per unit. Now use the point-slope formula to find the equation \n" );
document.write( " Plug in m=60 and to the equation \n" );
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document.write( "So this is your equation. If you plug in x=100 units, you should get y=$10,000 and if you plug in x=300, you should get y=$22,000 (y is the cost) \n" );
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document.write( "Check: \n" );
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document.write( " Works \n" );
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document.write( " Works \n" );
document.write( "Hope this makes sense. \n" );
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