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anonymous
 one year ago
graph 2x+4y=4 for the domain D: (8,4,0,4,8)
anonymous
 one year ago
graph 2x+4y=4 for the domain D: (8,4,0,4,8)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@pooja195 @satellite73 @MathMath101 @peachpi

freckles
 one year ago
Best ResponseYou've already chosen the best response.3well we need to find first what the corresponding y values are for the listed x values... so if x=8 then y=? use the equation 2x+4y=4 then you will ask yourself if x=4 then y=? and so on... once we get all the points we just plot then done

freckles
 one year ago
Best ResponseYou've already chosen the best response.3have you found y for when x=8 yet?

freckles
 one year ago
Best ResponseYou've already chosen the best response.3\[2x+4y=4 \\ \text{ so we have } x=8 \\ 2(8)+4y=4 \\ 16+4y=4 \\ 4y=416 \\ 4y=12 \\ y=\frac{12}{4}=3\] are you sure?

freckles
 one year ago
Best ResponseYou've already chosen the best response.3because when I plug in 8 for x I get 3 for y

freckles
 one year ago
Best ResponseYou've already chosen the best response.3so we will plot (8,3) on our little graph paper now you go to the next number in the domain and plug in 4 for x to find what y is when x is 4

freckles
 one year ago
Best ResponseYou've already chosen the best response.3close I got y=1 \[2(4)+4y=4 \\ 8+4y=4 \\ 4y=48 \\ 4y=4 \\ y=1\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.3so we will plot (4,1) on our graph also by the way instead of solving for y each time we can do it one time and just plug into that equation instead: \[2x+4y=4 \\ \text{ add } 2x \text{ on both sides } 4y=2x+4 \\ \text{ divide both sides by 4} \\ y=\frac{2x+4}{4} \\ \text{ divide \top and bottom by 2 } \\ y=\frac{x+2}{2}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.3ok plug in the next x value

freckles
 one year ago
Best ResponseYou've already chosen the best response.3right so we will also plot (0,1)

freckles
 one year ago
Best ResponseYou've already chosen the best response.3just two more number to plug in

freckles
 one year ago
Best ResponseYou've already chosen the best response.3just to summary what we have so far: \[(8,3) \\ (4,1) \\ (0,1) \\ (4,?) \\ (8,?)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.3\[(8,3) \\ (4,1) \\ (0,1) \\ (4,?) \\ (8,?) \\ y=\frac{x+2}{2} \\ (8,3) \\ (4,1) \\ (0,1) \\ (4,\frac{4+2}{2}) \\ (8, \frac{8+2}{2})\] simplify those bottom two

freckles
 one year ago
Best ResponseYou've already chosen the best response.3then plot all 5 coordinates and you are done

freckles
 one year ago
Best ResponseYou've already chosen the best response.3right! \[(8,3) \\ (4,1) \\ (0,1) \\ (4,?) \\ (8,?) \\ y=\frac{x+2}{2} \\ (8,3) \\ (4,1) \\ (0,1) \\ (4,\frac{4+2}{2}) =(4,3)\\ (8, \frac{8+2}{2}) =(8,5)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.3can you plot the points: (8,3) (4,1) (4,3) (8,5)

freckles
 one year ago
Best ResponseYou've already chosen the best response.3I will plot one point if you are unsure how to plot

freckles
 one year ago
Best ResponseYou've already chosen the best response.3(8,3) look at the first number which is 8 since the number is negative that means we will go left of the origin (the center aka (0,0) ) we will count 8 units to the left of the origin ... the the number which is 3 since the number is negative that means we will go down from the origin we will count down 3 units from the origin the type graphing we are doing is called rectangular ... dw:1440643068749:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.3see why the type of graphing is called rectangular you see a rectangle right?

freckles
 one year ago
Best ResponseYou've already chosen the best response.3but anyways the rectangle isn't (8,3) where those two legs of the rectangle meet that point I drew is where (8,3) is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok i get it now thank you @freckles
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