Question 934564
Given;
(1) {{{3x+5y>= 35}}}
Now treat the inequality sign just as you would an equality sign to get (1) into the slope/intercept form
(2) {{{y >= mx + b}}}
First subtract 3x from each side of (1) to get
(3) {{{3x-3x+5y>= 35-3x}}} or
(4) {{{5y>= 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/5>= 35/5 - (3/5)x}}} or
(6) {{{y>= 7 - (3/5)x}}} or in the form given by (2) we have
(7) {{{y>= -(3/5)x +7}}} where the slope m = -3/5 and the y-intercept b = 7.
Also given
(8) {{{2x+y<=14}}} simplifies to
(9) {{{y<=14-2x}}} or
(10){{{y<=-2x+14}}} where m=-2 and b=14