document.write( "Question 1079202: 2 perpendicular lines intersect on the x axis. One of the lines is 2x-y +3=0 find the equation of the second line. Write your answer in general form \n" ); document.write( "

Algebra.Com's Answer #693532 by josmiceli(19441) $\"\"$ $\"About$

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The given line is:
\n" ); document.write( " $\"+2x+-+y++%2B+3+=+0+\"$
\n" ); document.write( " $\"+y+=+2x+%2B+3+\"$
\n" ); document.write( "The slope is $\"+m%5B1%5D+=+2+\"$
\n" ); document.write( "Any line perpendicular to this line
\n" ); document.write( "will have slope $\"+m%5B2%5D+=+-1%2F2+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "The lines intersect at ( x1, 0 )
\n" ); document.write( "For the given line:
\n" ); document.write( " $\"+0+=+2%2Ax%5B1%5D+%2B+3+\"$
\n" ); document.write( " $\"+2x%5B1%5D+=+-3+\"$
\n" ); document.write( " $\"+x%5B1%5D+=+-3%2F2+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "The unknown line is:
\n" ); document.write( " $\"+y+=+%28-1%2F2%29%2Ax+%2B+b+\"$
\n" ); document.write( "Plug in the point ( -3/2, 0 )
\n" ); document.write( " $\"+0+=+%28-1%2F2%29%2A%28-3%2F2%29+%2B+b+\"$
\n" ); document.write( " $\"+%28+3%2F4+%29+%2B+b+=+0+\"$
\n" ); document.write( " $\"+b+=+-3%2F4+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "The unknown line is:
\n" ); document.write( " $\"+y+=+%28-1%2F2%29%2Ax+-+3%2F4+\"$
\n" ); document.write( " $\"+4y+=+-2x+-+3+\"$
\n" ); document.write( " $\"+2x+%2B+4y+%2B+3+=+0+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "Here's the plot of the 2 lines:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+2x+%2B+3%2C+%28-1%2F2%29%2Ax+-+3%2F4+%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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