document.write( "Question 934564: -Rewrite the constraints in slope-intercept form.
\n" ); document.write( "3x+5y≥35
\n" ); document.write( "2x+y≤14
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #567555 by DrBeeee(684)\"\" \"About 
You can put this solution on YOUR website!
Given;
\n" ); document.write( "(1) \"3x%2B5y%3E=+35\"
\n" ); document.write( "Now treat the inequality sign just as you would an equality sign to get (1) into the slope/intercept form
\n" ); document.write( "(2) \"y+%3E=+mx+%2B+b\"
\n" ); document.write( "First subtract 3x from each side of (1) to get
\n" ); document.write( "(3) \"3x-3x%2B5y%3E=+35-3x\" or
\n" ); document.write( "(4) \"5y%3E=+35+-+3x\"
\n" ); document.write( "Now divide each side of (4) by +5, noting that when you divide an inequality by a positive number, the inequality remains the same, and get
\n" ); document.write( "(5) \"5y%2F5%3E=+35%2F5+-+%283%2F5%29x\" or
\n" ); document.write( "(6) \"y%3E=+7+-+%283%2F5%29x\" or in the form given by (2) we have
\n" ); document.write( "(7) \"y%3E=+-%283%2F5%29x+%2B7\" where the slope m = -3/5 and the y-intercept b = 7.
\n" ); document.write( "Also given
\n" ); document.write( "(8) \"2x%2By%3C=14\" simplifies to
\n" ); document.write( "(9) \"y%3C=14-2x\" or
\n" ); document.write( "(10)\"y%3C=-2x%2B14\" where m=-2 and b=14
\n" ); document.write( "
\n" ); document.write( "
\n" );