document.write( "Question 317852: Determine \"k\" so that the line through (k+2,k) and (3,2) has slope 3.\r
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Algebra.Com's Answer #227707 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Determine \"k\" so that the line through (k+2,k) and (3,2) has slope 3.
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\n" ); document.write( "The slope formula: $\"%28y2-y1%29%2F%28x2-x1%29\"$ = m
\n" ); document.write( "Assign the values as follows:
\n" ); document.write( "x1 = (k+2) y = k
\n" ); document.write( "x2 = 3; y2 = 2
\n" ); document.write( "m = 3
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\n" ); document.write( " $\"%282+-+k%29%2F%283+-+%28k%2B2%29%29\"$ = 3
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\n" ); document.write( " $\"%282+-+k%29%2F%283+-+k+-+2%29%29\"$ = 3
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\n" ); document.write( " $\"%282+-+k%29%2F%281+-+k%29\"$ = 3
\n" ); document.write( "2 - k = 3(1 - k)
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\n" ); document.write( "2 - k = 3 - 3k
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\n" ); document.write( "-k + 3k = 3 - 2
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\n" ); document.write( "2k = 1
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\n" ); document.write( "k = $\"1%2F2\"$ , or .5
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\n" ); document.write( "Check the slope
\n" ); document.write( " $\"%282+-+.5%29%2F%283-2.5%29%29\"$ =
\n" ); document.write( " $\"1.5%2F.5\"$ = 3\r
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