document.write( "Question 714627:
\n" ); document.write( "Determine the value of k so that the line passing through the points (k,5) and (4,-1) is perpendicular to the line containing points (2,-2) and (1,-5).
\n" ); document.write( "Express your result as an exact number, using a fraction if necessary. \n" ); document.write( "

Algebra.Com's Answer #438930 by mananth(16946) $\"\"$ $\"About$

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(k,5) and (4,-1) is perpendicular to the line containing points (2,-2) and (1,-5).\r
\n" ); document.write( "\n" ); document.write( "(k,5) and (4,-1)
\n" ); document.write( "slope = (y2-y1)/(x2-x1)
\n" ); document.write( "plug the values\r
\n" ); document.write( "\n" ); document.write( "(-1-5)/(4-k)= -6/(4-k)\r
\n" ); document.write( "\n" ); document.write( "(2,-2) and (1,-5).\r
\n" ); document.write( "\n" ); document.write( "slope = (-5-(-2)/(1-2)=-3/-1 = 3\r
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\n" ); document.write( "\n" ); document.write( "The slopes of perpendicular lines are negative reciprocal of each other\r
\n" ); document.write( "\n" ); document.write( "m1*m2 = -1\r
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\n" ); document.write( "\n" ); document.write( "((-6)/(4-k)) *3 =-1\r
\n" ); document.write( "\n" ); document.write( "-18= -1(4-k)\r
\n" ); document.write( "\n" ); document.write( "-18 = k-4\r
\n" ); document.write( "\n" ); document.write( "k=-14\r
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