anonymous
  • anonymous
graph -2x+4y=4 for the domain D: (-8,-4,0,4,8)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@pooja195 @satellite73 @MathMath101 @peachpi
anonymous
  • anonymous
@ganeshie8 @Hero
anonymous
  • anonymous
@triciaal

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anonymous
  • anonymous
@freckles
freckles
  • freckles
well 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
anonymous
  • anonymous
so we finding y now
freckles
  • freckles
have you found y for when x=-8 yet?
anonymous
  • anonymous
y equals 2
freckles
  • freckles
\[-2x+4y=4 \\ \text{ so we have } x=-8 \\ -2(-8)+4y=4 \\ 16+4y=4 \\ 4y=4-16 \\ 4y=-12 \\ y=\frac{-12}{4}=-3\] are you sure?
freckles
  • freckles
because when I plug in -8 for x I get -3 for y
anonymous
  • anonymous
o sorry
freckles
  • freckles
so 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
anonymous
  • anonymous
1
freckles
  • freckles
close I got y=-1 \[-2(-4)+4y=4 \\ 8+4y=4 \\ 4y=4-8 \\ 4y=-4 \\ y=-1\]
freckles
  • freckles
so 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
  • freckles
ok plug in the next x value
freckles
  • freckles
which is 0
anonymous
  • anonymous
1
freckles
  • freckles
right so we will also plot (0,1)
freckles
  • freckles
just two more number to plug in
freckles
  • freckles
so much fun :p
freckles
  • freckles
just to summary what we have so far: \[(-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,?) \\ (8,?)\]
freckles
  • freckles
\[(-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,?) \\ (8,?) \\ y=\frac{x+2}{2} \\ (-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,\frac{4+2}{2}) \\ (8, \frac{8+2}{2})\] simplify those bottom two
freckles
  • freckles
then plot all 5 coordinates and you are done
anonymous
  • anonymous
-4
freckles
  • freckles
(4+2)/2=?
freckles
  • freckles
and (8+2)/2=?
anonymous
  • anonymous
3
anonymous
  • anonymous
5
freckles
  • freckles
right! \[(-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,?) \\ (8,?) \\ y=\frac{x+2}{2} \\ (-8,-3) \\ (-4,-1) \\ (0,1) \\ (4,\frac{4+2}{2}) =(4,3)\\ (8, \frac{8+2}{2}) =(8,5)\]
freckles
  • freckles
can you plot the points: (-8,-3) (-4,-1) (4,3) (8,5)
freckles
  • freckles
oops and (0,1)
freckles
  • freckles
I will plot one point if you are unsure how to plot
freckles
  • freckles
(-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
  • freckles
see why the type of graphing is called rectangular you see a rectangle right?
freckles
  • freckles
but 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
  • anonymous
ok i get it now thank you @freckles
freckles
  • freckles
cool stuff :)

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