document.write( "Question 1050105: I need help solving an equation of a line that passes through the point (-4,-1) and is parallel to 7x-4y=5 \n" ); document.write( "
Algebra.Com's Answer #665680 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+7x+-+4y+=+5+\"
\n" ); document.write( "Get it into the slope-intercept form
\n" ); document.write( "\"+4y+=+7x+-+5+\"
\n" ); document.write( "\"+y+=+%287%2F4%29%2Ax+-+5%2F4+\"
\n" ); document.write( "This is in the form \"+y+=+m%2Ax+%2B+b+\", where
\n" ); document.write( "\"+m+\" = slope
\n" ); document.write( "\"+b+\" = y-intercept
\n" ); document.write( "--------------------
\n" ); document.write( "\"+m+=+7%2F4+\"
\n" ); document.write( "Any line parallel to the given line will also
\n" ); document.write( "have slope = \"+7%2F4+\"
\n" ); document.write( "----------------------
\n" ); document.write( "The line passes through ( -4, -1 )
\n" ); document.write( "Use the general point-slope formula:
\n" ); document.write( "\"+%28+y+-%28-1%29+%29+%2F+%28+x+-%28-4%29+%29+=+7%2F4+\"
\n" ); document.write( "\"+%28+y+%2B+1+%29+%2F+%28+x+%2B+4+%29+=+7%2F4+\"
\n" ); document.write( "Multiply both sides by \"+4%2A%28+x%2B4+%29+\"
\n" ); document.write( "\"+4%2A%28+y+%2B+1+%29+=+7%2A%28+x+%2B+4+%29+\"
\n" ); document.write( "\"+4y+%2B+4+=+7x+%2B+28+\"
\n" ); document.write( "\"+4y+=+7x+%2B+24+\"
\n" ); document.write( "\"+y+=+%287%2F4%29%2Ax+%2B+6+\" answer
\n" ); document.write( "---------------------------
\n" ); document.write( "check:
\n" ); document.write( "Does this line go through ( -4, -1 ) ?
\n" ); document.write( "\"+-1+=+%287%2F4%29%2A%28-4%29+%2B+6+\"
\n" ); document.write( "\"+-1+=+-7+%2B+6+\"
\n" ); document.write( "\"+-1+=+-1+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );