document.write( "Question 717112: Sheila needs to determine the equation of a line passing through the point (–6, –2) that is perpendicular to y = 2x– 4. Which equation best represents Sheila's equation? \n" ); document.write( "

Algebra.Com's Answer #440104 by josmiceli(19441) $\"\"$ $\"About$

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The slope of the line $\"+y+=+2x+-+4+\"$
\n" ); document.write( "is $\"+m%5B1%5D+=+2+\"$
\n" ); document.write( "Any line which is perpendicular to the line
\n" ); document.write( " $\"+y+=+2x+-+4+\"$ will have slope
\n" ); document.write( " $\"+m%5B2%5D+=+-1%2Fm%5B1%5D+\"$
\n" ); document.write( " $\"+m%5B2%5D+=+-1%2F2+\"$
\n" ); document.write( "---------------
\n" ); document.write( "(-6,-2)
\n" ); document.write( "Use the general point-slope formula
\n" ); document.write( " $\"+%28+y+-%28-2%29+%29+%2F+%28+x+-%28-6%29+%29+=+-1%2F2+\"$
\n" ); document.write( " $\"+%28+y+%2B+2+%29+%2F+%28+x+%2B+6+%29+=+-1%2F2+\"$
\n" ); document.write( "Multiply both sides by $\"+2%2A%28+x+%2B+6+%29+\"$
\n" ); document.write( " $\"+2%2A%28+y+%2B+2+%29+=+-%28+x+%2B+6+%29+\"$
\n" ); document.write( " $\"+2y+%2B+4+=+-x+-+6+\"$
\n" ); document.write( " $\"+2y+=+-x+-+10+\"$
\n" ); document.write( " $\"+y+=+-%281%2F2%29%2Ax+-+5+\"$
\n" ); document.write( "------------------
\n" ); document.write( "check answer:
\n" ); document.write( "Does it go through (-6,-2) ?
\n" ); document.write( " $\"+-2+=+-%281%2F2%29%2A%28-6%29+-+5+\"$
\n" ); document.write( " $\"+-2+=+3+-+5+\"$
\n" ); document.write( " $\"+-2+=+-2+\"$
\n" ); document.write( "OK
\n" ); document.write( "------
\n" ); document.write( "Here's a plot of the 2 lines:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-10%2C+2%2C+2x+-+4%2C+-%281%2F2%29%2Ax+-+5+%29+\"$
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