document.write( "Question 785338: Find the value of k so that the line containing the points (6,k) and (−7,−4) is parallel to the line containing the points (1,−9) and (4,−11). \r
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Algebra.Com's Answer #477497 by mananth(16946)\"\" \"About 
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the slope of line joining two points is given by the formula
\n" ); document.write( "(y2-y1)/(x2-x1)=m\r
\n" ); document.write( "\n" ); document.write( "x1 y1 x2 y2
\n" ); document.write( "1 -9 4 -11
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\n" ); document.write( "slope m = (y2-y1)/(x2-x1)
\n" ); document.write( "( -11 - -9 )/( 4 - 1 )
\n" ); document.write( "( -2 / 3 )
\n" ); document.write( "m= - 2/ 3 \r
\n" ); document.write( "\n" ); document.write( "A parallel line will have the same slope\r
\n" ); document.write( "\n" ); document.write( "(6,k) (-7,-4)
\n" ); document.write( "The line joining these points will have slope of -2/3\r
\n" ); document.write( "\n" ); document.write( "(-4-k)/(-7-6)=-2/3\r
\n" ); document.write( "\n" ); document.write( "(-4-k)/-13=-2/3\r
\n" ); document.write( "\n" ); document.write( "-4-k = -13*-2/3\r
\n" ); document.write( "\n" ); document.write( "-4-k = 26/3\r
\n" ); document.write( "\n" ); document.write( "k=-4-26/3\r
\n" ); document.write( "\n" ); document.write( "k=-38/3\r
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