document.write( "Question 1134563: Find an equation of the line satisfying the given conditions.\r
\n" ); document.write( "\n" ); document.write( "Passing through (4,−3) and perpendicular to the line 5y= -4x/7 + 5 \n" ); document.write( "

Algebra.Com's Answer #751981 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+5y+=+-4x%2F7+%2B+5+\"$
\n" ); document.write( " $\"+y+=+%28-4%2F35%29%2Ax+%2B+1+\"$
\n" ); document.write( "Slope, $\"+m+=+-4%2F35+\"$
\n" ); document.write( "Any line perpendicular to this line has
\n" ); document.write( "slope $\"+-1%2Fm+=+35%2F4+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "use the general point-slope formula
\n" ); document.write( " $\"+%28+y+-%28-3%29+%29+%2F+%28+x+-+4+%29+=+35%2F4+\"$
\n" ); document.write( "Multiply both sides by $\"+4%2A%28+x+-+4+%29+\"$
\n" ); document.write( " $\"+4%2A%28+y+%2B+3+%29+=+35%2A%28+x+-+4+%29+\"$
\n" ); document.write( " $\"+4y+%2B+12+=+35x+-+140+\"$
\n" ); document.write( " $\"+4y+=+35x+-+152+\"$
\n" ); document.write( " $\"+y+=+%2835%2F4%29%2Ax+-+38+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "Here's a plot of the 2 lines
\n" ); document.write( "

\n" ); document.write( "Looks OK
\n" ); document.write( " \n" ); document.write( "

\n" );