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Solution
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Solution provided by AtoZmath.com
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Graph Lines calculator
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Graph - Using Point and Slope.
You can plot graph using
 1. Plot Points
like (3,-5),(5,3)
2. Plot Points on X-axis
like -3,5,12,-7,0
3. Plot Points on Y-axis
like -3,5,12,-7,0
4. Graph Lines
like x=-3y+5; 2x+y=1; x+2y<=5; x+y>=15
5. Graph Line using Slope & point
like Slope=7 and Point=(4,6)
6. Graph Line using Slope & Y-Intercept
like Slope=2 and Y-Intercept=-4
7. Graph Line passing through two points
like Point1=(3,-5) and Point2=(5,3)
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Example1. Draw lines : x+y<=4;x+2y>=6Solution:1. To draw constraint `color{red}{x+y<=4} ->(1)` Treat it as `color{red}{x+y=4}` When `x=0` then `y=?` `=>(0)+y=4` `=>y=4` When `y=0` then `x=?` `=>x+(0)=4` `=>x=4` Put `x=0,y=0` (origin) in `color{red}{x+y<=4}`, then `0+0<=4`, which is true, The half plane containing the origin is the region of the solution set of the inequation `color{red}{x+y<=4}`
2. To draw constraint `color{green}{x+2y>=6} ->(2)` Treat it as `color{green}{x+2y=6}` When `x=0` then `y=?` `=>(0)+2y=6` `=>2y=6` `=>y=(6)/(2)=3` When `y=0` then `x=?` `=>x+2(0)=6` `=>x=6` Put `x=0,y=0` (origin) in `color{green}{x+2y>=6}`, then `0+0>=6`, which is false, The half plane not containing the origin is the region of the solution set of the inequation `color{green}{x+2y>=6}`
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