document.write( "Question 206173: Determine k so that the line through (k+2,k) and (3,2) has slope 3. \n" ); document.write( "

Algebra.Com's Answer #155732 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( "Use the slope formula: $\"%28y2-y1%29%2F%28x2-x1%29\"$ = m
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\n" ); document.write( "Assign these values as follows
\n" ); document.write( "x1 = (k+2) y1 = 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( " $\"%282-k%29%2F%281-k%29%29\"$ = 3
\n" ); document.write( "Multiply both sides by (1-k); solve for k
\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 = $\"1%2F2\"$ ; = .5
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\n" ); document.write( "x = 2.5; y = .5 \n" ); document.write( "

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