document.write( "Question 983884: write the equation of the line that contains the point (8,-3) and is perpindicular to 4x-3y=10 graph the equation. write it in standard form. please help me:/ \n" ); document.write( "
Algebra.Com's Answer #604673 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( "----------------------
\n" ); document.write( "The line is now in the form:
\n" ); document.write( "\"+y+=+m%2Ax+%2B+b+\" where
\n" ); document.write( "\"+m+\" = slope
\n" ); document.write( "For this line, \"+m+=+4%2F3+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "ANY line perpendicular to this line
\n" ); document.write( "will have slope =
\n" ); document.write( "\"+m%5B1%5D+=+-1%2Fm+\"
\n" ); document.write( "\"+m%5B1%5D+=+-1%2F%284%2F3%29+\"
\n" ); document.write( "\"+m%5B1%5D+=+-3%2F4+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "The required line goes through: (8,-3)
\n" ); document.write( "You can use the point-slope formula:
\n" ); document.write( "\"+%28+y+-+%28-3%29+%29+%2F+%28+x+-+8+%29+=+-3%2F4+\"
\n" ); document.write( "\"+y+%2B+3+=+%28+-3%2F4+%29%2A%28+x+-+8+%29+\"
\n" ); document.write( "\"+y+%2B+3+=+%28-3%2F4%29%2Ax+%2B+6+\"
\n" ); document.write( "\"+y+=+%28-3%2F4%29%2Ax+%2B+3+\" answer
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "Does it go through (8,-3) ?
\n" ); document.write( "\"+y+=+%28-3%2F4%29%2Ax+%2B+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( "Here are the plots of the lines:
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\n" ); document.write( "Hope this helps
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