document.write( "Question 1053974: Write the equation of a line that passes through the point (7,1) and is perpendicular to the line with the equation 6x-3y=8. I've tried solving this and had some trouble. \n" ); document.write( "
Algebra.Com's Answer #669162 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
First put the given equation into
\n" ); document.write( "the slope-intercept form
\n" ); document.write( "\"+6x+-+3y+=+8+\"
\n" ); document.write( "\"+-3y+=+-6x+%2B+8+\"
\n" ); document.write( "\"+3y+=+6x+-+8+\"
\n" ); document.write( "\"+y+=+2x+-+8%2F3+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Any line perpendicular to this line
\n" ); document.write( "will have slope = \"+m%5B2%5D+=+-1%2Fm%5B1%5D+\"
\n" ); document.write( "where \"+m%5B1%5D+=+2+\"
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\n" ); document.write( "\"+m%5B2%5D+=+-1%2F2+\"
\n" ); document.write( "given the point ( 7, 1 )
\n" ); document.write( "Now use the general point-slope formula
\n" ); document.write( "\"+%28+y+-+1+%29+%2F+%28+x+-+7+%29+=+-1%2F2+\"
\n" ); document.write( "\"+y+-+1+=+%28-1%2F2%29%2A%28+x+-+7+%29+\"
\n" ); document.write( "\"+y+=+%28-1%2F2%29%2A%28+x+-+7+%29+%2B+2%2F2+\"
\n" ); document.write( "\"+y+=+%28-1%2F2%29%2Ax+%2B+7%2F2+%2B+2%2F2+\"
\n" ); document.write( "\"+y+=+%28-1%2F2%29%2Ax+%2B+9%2F2+\"
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "Does it go through ( 7,1 ) ?
\n" ); document.write( "\"+1+=+%28-1%2F2%29%2A7+%2B+9%2F2+\"
\n" ); document.write( "\"+1+=+-7%2F2+%2B+9%2F2+\"
\n" ); document.write( "\"+2%2F2+=+2%2F2+\"
\n" ); document.write( "OK
\n" ); document.write( "---------------------------
\n" ); document.write( "Here's a plot of both lines:
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