document.write( "Question 1065150: It says: determine the equation of the line that is perpendicular to y=-4/3x-9 and has the same x-intercept as 3x-5y=-6 \n" ); document.write( "
Algebra.Com's Answer #680247 by josmiceli(19441)\"\" \"About 
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\"+y+=+-%284%2F3%29%2Ax+-+9+\"
\n" ); document.write( "\"+m+=+-4%2F3+\"
\n" ); document.write( "The slope of the perpendicular line is:
\n" ); document.write( "\"+m%5B1%5D+=+-1%2Fm+\"
\n" ); document.write( "\"+m%5B1%5D+=+-1%2F%28-4%2F3%29+\"
\n" ); document.write( "\"+m%5B1%5D+=+3%2F4+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "The general form of the required line is:
\n" ); document.write( "\"+y+=+m%5B1%5D%2Ax+%2B+b+\"
\n" ); document.write( "\"+y+=+%283%2F4%29%2Ax+%2B+b+\"
\n" ); document.write( "------------------------
\n" ); document.write( "The x-intercept of \"+3x+-+5y+=+-6+\"
\n" ); document.write( "is where \"+y+=+0+\", so
\n" ); document.write( "\"+3x+-+5%2A0++=+-6+\"
\n" ); document.write( "\"+3x+=+-6+\"
\n" ); document.write( "\"+x+=+-2+\"
\n" ); document.write( "So, you are given the point ( -2, 0 )
\n" ); document.write( "---------------------------------
\n" ); document.write( "\"+y+=+%283%2F4%29%2Ax+%2B+b+\"
\n" ); document.write( "\"+0+=+%283%2F4%29%2A%28-2%29+%2B+b+\"
\n" ); document.write( "\"+0+=+-3%2F2+%2B+b+\"
\n" ); document.write( "\"+b+=+3%2F2+\"
\n" ); document.write( "------------------------
\n" ); document.write( "The equation of the line is:
\n" ); document.write( "\"+y+=+%283%2F4%29%2Ax+%2B+3%2F2+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "check:
\n" ); document.write( "Does it go through ( -2,0 ) ?
\n" ); document.write( "\"+0+=+%283%2F4%29%2A%28-2%29+%2B+3%2F2+\"
\n" ); document.write( "\"+0+=+-3%2F2+%2B+3%2F2+\"
\n" ); document.write( "\"+0+=+0+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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