SOLUTION: -Rewrite the constraints in slope-intercept form. 3x+5y≥35 2x+y≤14

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Question 934564: -Rewrite the constraints in slope-intercept form.
3x+5y≥35
2x+y≤14

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Given;
(1) 3x%2B5y%3E=+35
Now treat the inequality sign just as you would an equality sign to get (1) into the slope/intercept form
(2) y+%3E=+mx+%2B+b
First subtract 3x from each side of (1) to get
(3) 3x-3x%2B5y%3E=+35-3x or
(4) 5y%3E=+35+-+3x
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
(5) 5y%2F5%3E=+35%2F5+-+%283%2F5%29x or
(6) y%3E=+7+-+%283%2F5%29x or in the form given by (2) we have
(7) y%3E=+-%283%2F5%29x+%2B7 where the slope m = -3/5 and the y-intercept b = 7.
Also given
(8) 2x%2By%3C=14 simplifies to
(9) y%3C=14-2x or
(10)y%3C=-2x%2B14 where m=-2 and b=14