document.write( "Question 105032: A straight line with a slope of 5 contains the points(1,2) and (3,k) find the value of k \n" ); document.write( "

Algebra.Com's Answer #76506 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A straight line with a slope of 5 contains the points(1,2) and (3,k) find the value of k
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\n" ); document.write( "Remember our old friend the \"slope formula\"
\n" ); document.write( "m = $\"%28%28y2+-+y1%29%29%2F%28%28x2+-+x1%29%29\"$
\n" ); document.write( ":
\n" ); document.write( "In your problem:
\n" ); document.write( "x1 = 1; y1 = 2
\n" ); document.write( "x2 = 3; y2 = k
\n" ); document.write( "m = 5
\n" ); document.write( ":
\n" ); document.write( "So we have:
\n" ); document.write( " $\"%28%28k+-+2%29%29%2F%28%283+-+1%29%29\"$ = 5
\n" ); document.write( ":
\n" ); document.write( " $\"%28%28k+-+2%29%29%2F%28%282%29%29\"$ = 5
\n" ); document.write( ":
\n" ); document.write( "Multiply both sides by 2, gets rid of the denominator
\n" ); document.write( "k - 2 = 2(5)
\n" ); document.write( "k = 10 + 2
\n" ); document.write( "k = 12, (y2 = 12)
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\n" ); document.write( "Check that in the original equation:
\n" ); document.write( " $\"%28%2812+-+2%29%29%2F%28%283+-+1%29%29\"$ = 5; confirms our solution
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