document.write( "Question 147837: I don't understand this: find the value of k if the line joining (4,k) and (3,1) is parallel to the line y=-1/2x-9/2 \n" ); document.write( "
Algebra.Com's Answer #108209 by Fombitz(32388)\"\" \"About 
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If lines are parallel, it means their slopes are equal.
\n" ); document.write( "The line has a slope of (-1/2).
\n" ); document.write( "The formula for the slope given two points is,
\n" ); document.write( "\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"
\n" ); document.write( "\"m=%281-k%29%2F%283-4%29=%281-k%29%2F%28-1%29=k-1\"
\n" ); document.write( "For parallel lines, set the slope equal to (-1/2) and solve for k.
\n" ); document.write( "\"k-1=-1%2F2\"
\n" ); document.write( "\"k=1%2F2\"
\n" ); document.write( "
\n" ); document.write( "Here is a graph of the line, the two points and the new line.
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