LifeIsADangerousGame
  • LifeIsADangerousGame
I made a mistake...I have 3 questions left :/
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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LifeIsADangerousGame
  • LifeIsADangerousGame
This is the first question:
1 Attachment
LifeIsADangerousGame
  • LifeIsADangerousGame
I need to know how to graph it
myininaya
  • myininaya
don't forget your little x guy after the 3/2

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myininaya
  • myininaya
you can do that if you want
LifeIsADangerousGame
  • LifeIsADangerousGame
Oh yea, sorry, forgot about that
myininaya
  • myininaya
|dw:1328068801726:dw|
myininaya
  • myininaya
|dw:1328068824020:dw|
myininaya
  • myininaya
|dw:1328068854662:dw|
myininaya
  • myininaya
|dw:1328068878164:dw|
LifeIsADangerousGame
  • LifeIsADangerousGame
Ohh, ok! Thank you :)
LifeIsADangerousGame
  • LifeIsADangerousGame
Here's the second one:
1 Attachment
LifeIsADangerousGame
  • LifeIsADangerousGame
I know the slope-intercept form (y = 4/8x right?), I need help with the last two
myininaya
  • myininaya
i'm not getting that
myininaya
  • myininaya
so we have 4x-8y=8 right?
LifeIsADangerousGame
  • LifeIsADangerousGame
Right
myininaya
  • myininaya
we want to write in this form y=mx+b so we need to solve for y
LifeIsADangerousGame
  • LifeIsADangerousGame
right
myininaya
  • myininaya
\[4x=8y+8\]here i added 8y on both sides
myininaya
  • myininaya
\[4x-8=8y\] here i subtracted 8 on both sides
myininaya
  • myininaya
\[\frac{4x-8}{8}=\frac{8y}{8}\] here we divided 8 on both sides
LifeIsADangerousGame
  • LifeIsADangerousGame
You mean 4x right?
myininaya
  • myininaya
\[\frac{4x}{8}-\frac{8}{8}=y\] \[\frac{1}{2}x-1=y\] now we are done! :)
myininaya
  • myininaya
whats the question?
myininaya
  • myininaya
\[\text{ we have } y=\frac{1}{2}x-1\]
LifeIsADangerousGame
  • LifeIsADangerousGame
Oohh, ok, so how do I get a perpendicular line to that?
myininaya
  • myininaya
slope of a perpendicular line is going to have negative reciprocal slope of 1/2
myininaya
  • myininaya
\[y=\frac{-2}{1}x+b\] see i just flipped the 1/2 and put a negative in front of it
myininaya
  • myininaya
\[y=-2x+b\]
myininaya
  • myininaya
so this is the form for any perpendicular line of y=x/2-1
myininaya
  • myininaya
to*
LifeIsADangerousGame
  • LifeIsADangerousGame
Hmm
myininaya
  • myininaya
now we are given a point on this line (1,2)
myininaya
  • myininaya
so instead of using y=-2x+b we could use y-y_1=-2(x-x_1) since it ask for point slope form
LifeIsADangerousGame
  • LifeIsADangerousGame
y - y1 = -2(x - x1) and that's y - 2 = -2(x - 1)?
myininaya
  • myininaya
yep! :)
LifeIsADangerousGame
  • LifeIsADangerousGame
Thanks! Is it alright if we do the last one?
myininaya
  • myininaya
ok shoot
LifeIsADangerousGame
  • LifeIsADangerousGame
It's graphing again
1 Attachment
myininaya
  • myininaya
solve that inequality for y first
LifeIsADangerousGame
  • LifeIsADangerousGame
s\[x + 3y \le 6 = x + 3y -x \le -x \] is that right so far?
LifeIsADangerousGame
  • LifeIsADangerousGame
it cut it off, the end should be -x + 6
myininaya
  • myininaya
\[3y \le -x+6?\]
LifeIsADangerousGame
  • LifeIsADangerousGame
yea
LifeIsADangerousGame
  • LifeIsADangerousGame
It keeps adding and taking away stuff
LifeIsADangerousGame
  • LifeIsADangerousGame
so would it be \[y \le -x/3 \]\[+ 2?\]
myininaya
  • myininaya
\[y \le \frac{-1}{3}x+2\]
myininaya
  • myininaya
on that is what you mean
myininaya
  • myininaya
yes! :)
LifeIsADangerousGame
  • LifeIsADangerousGame
so that means that I go to the left once, and up three times?
myininaya
  • myininaya
no top is rise and bottom is run
LifeIsADangerousGame
  • LifeIsADangerousGame
Wait, I go to the 2 for y intercept actually
myininaya
  • myininaya
yep and then use the slope to find the next point
myininaya
  • myininaya
|dw:1328070755018:dw|
myininaya
  • myininaya
but we have y<-x/3+2
myininaya
  • myininaya
|dw:1328070825319:dw|
myininaya
  • myininaya
y< means we shade everything below the graph
LifeIsADangerousGame
  • LifeIsADangerousGame
Ok! Thank you! I think I finally got it :P
LifeIsADangerousGame
  • LifeIsADangerousGame
YAY! !oo% Thank you Myininaya!

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