document.write( "Question 567748: Line A passes through the points (2k+3,4k-6) and (-2,16). Find the value of k, if line A has a slope of 0. \n" ); document.write( "

Algebra.Com's Answer #366676 by josmiceli(19441) $\"\"$ $\"About$

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(2k+3,4k-6) and (-2,16)
\n" ); document.write( "slope = ( change in y ) / ( change in x )
\n" ); document.write( "given:
\n" ); document.write( "slope = $\"+0+\"$
\n" ); document.write( "change in y = $\"+0+\"$
\n" ); document.write( "change in y = $\"+16+-+%28+4k+-+6+%29+\"$
\n" ); document.write( " $\"+16+-+%28+4k+-+6+%29+=+0+\"$
\n" ); document.write( " $\"+16+-+4k+%2B+6+=+0+\"$
\n" ); document.write( " $\"+4k+=+22+\"$
\n" ); document.write( " $\"+k+=+11%2F2+\"$
\n" ); document.write( "check answer:
\n" ); document.write( "slope = $\"+%28+16+-+%28+4k+-+6+%29+%29+%2F+%28+-2+-+%28+2k+%2B+3+%29+%29+\"$
\n" ); document.write( "slope = $\"+%28+22+-+4k+%29+%2F+%28+-5+-+2k+%29+\"$
\n" ); document.write( "slope = $\"+%28+22+-+4%2A%2811%2F2%29+%29+%2F+%28-5+-+2%2A%2811%2F2%29+%29+\"$
\n" ); document.write( "slope = $\"+0+%2F+%28-16%29+=+0+\"$
\n" ); document.write( "OK \n" ); document.write( "

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