document.write( "Question 633025: Ryan buys a computer system for $3800. For tax purposes, he declares a linear depreciation (loss of value) of $400 per year. Let “y” be the declared value of the computer after “x” years.\r
\n" ); document.write( "\n" ); document.write( " What is the slope of the line that models this depreciation? \n" ); document.write( "

Algebra.Com's Answer #398664 by KMST(5328) $\"\"$ $\"About$

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The declared value (in $) is $\"y=3800\"$ for $\"x=0\"$ .
\n" ); document.write( "After $\"x\"$ years, the declared value has decreased by $ $\"400x\"$ to
\n" ); document.write( " $\"y=3800-400x\"$ or in a more conventional linear equation in slope-intercept form
\n" ); document.write( " $\"highlight%28y=-400x%2B3800%29\"$
\n" ); document.write( "
\n" ); document.write( "The slope intercept form of a linear equation looks like
\n" ); document.write( " $\"y=mx%2Bb\"$ ,
\n" ); document.write( "with a number $\"m\"$ called the slope, multiplied to the variable $\"x\"$ ,
\n" ); document.write( "and a number $\"b\"$ called the y-intercept,
\n" ); document.write( "added to that product to yield $\"y\"$ .
\n" ); document.write( "
\n" ); document.write( "In this case the slope is $\"highlight%28m=-400%29\"$ .
\n" ); document.write( "When the slope is negative, as in this case, we know that $\"y\"$ decreases as $\"x\"$ increases.
\n" ); document.write( "
\n" ); document.write( "The number $\"m\"$ is called the slope because it measures how fast $\"y\"$ increases or decreases for an increase of one unit in $\"x\"$ , increasing for positive slopes, and decreasing for negative slopes.
\n" ); document.write( "For $\"x=0\"$ , $\"y=b\"$ , and if we add $\"1\"$ to the $\"x\"$ ,
\n" ); document.write( "we find that for $\"x=1\"$ , $\"y=m%2Bb\"$ has increased by $\"m\"$ \n" ); document.write( "

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