document.write( "Question 1118390: Write the equation of the line that contains the point (8, –3) and is perpendicular to 4x-3y=10
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Algebra.Com's Answer #733682 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+4x+-+3y+=+10+\"$
\n" ); document.write( " $\"+3y+=+4x+-+10+\"$
\n" ); document.write( " $\"+y+=+%284%2F3%29%2Ax+-+10%2F3+\"$
\n" ); document.write( "If the slope of this line is $\"+m%5B1%5D+=+4%2F3+\"$ ,
\n" ); document.write( "then any line perpendicular to it has
\n" ); document.write( "slope $\"m%5B2%5D+=+-1%2Fm%5B1%5D+=+-3%2F4+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "The unknown line looks like:
\n" ); document.write( " $\"+y+=+m%5B2%5D%2Ax+%2B+b+\"$
\n" ); document.write( "Plug in the point ( 8, -3 )
\n" ); document.write( " $\"+-3+=+%28+-3%2F4+%29%2A8+%2B+b+\"$
\n" ); document.write( " $\"+-3+=+-6+%2B+b+\"$
\n" ); document.write( " $\"+b+=+3+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "The equation of the unknown line is:
\n" ); document.write( " $\"+y+=+%28-3%2F4%29%2Ax+%2B+3+\"$
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\n" ); document.write( "check:
\n" ); document.write( "Plug in ( 8, -3 )
\n" ); document.write( " $\"+-3+=+%28-3%2F4%29%2A8+%2B+3+\"$
\n" ); document.write( " $\"+-3+=+-6+%2B+3+\"$
\n" ); document.write( " $\"+-3+=+-3+\"$
\n" ); document.write( "OK \n" ); document.write( "

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