Which of the following equations describes the line shown below? Check all that apply. (-2,4) (1,13)
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OpenStudy (anonymous):
A. y+2=3(x-4)
B. y-13=3(x-1)
C. y-4=3(x-2)
D.y-1=3(x-13)
E. y-4=3(x+2)
F. y-2=3(x-4)
OpenStudy (anonymous):
@RedoHawk what about this one
OpenStudy (anonymous):
@RedoHawk u there
OpenStudy (anonymous):
@jcpd910 can u help me
OpenStudy (anonymous):
I can help you. :)
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OpenStudy (anonymous):
y+2=3(x-4)
Isolate y:
y = 3(x-4) - 2
OpenStudy (anonymous):
k
OpenStudy (anonymous):
(-2,4) (1,13)
Those are the points you're given. Remember a point is: (x,y)
So for the first equation, we can test if the x value matches the y value, like so:
-2 = x
y = 3(x-4) - 2
y = 3(-2 - 4) - 2
y = 3(-6) - 2
y = -18 - 2
y = -20
So when x = -2, y = -20, for this equation. So the ordered pair is:
(-2, -20)
which means it can't be
(-2,4)
So this is False.
Want me to show you how to do one more?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
so a will be false right
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OpenStudy (anonymous):
@dan815 can u help me
OpenStudy (anonymous):
I can help.
OpenStudy (anonymous):
k
OpenStudy (anonymous):
We do b the same way.
y-13=3(x-1)
y = 3(x - 1) + 13
x = -2
y = 3(-2 - 2) + 13
y = 3(-4) + 13
y = -12 + 13
y = 1
So when x = -2, y = 1 for this equation.
(-2,1)
that does not equal
(-2, 4)
so this is False.
OpenStudy (anonymous):
k what about c
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OpenStudy (anonymous):
I think you should try and find that out.
OpenStudy (anonymous):
I'll help you every step of the way.
OpenStudy (anonymous):
kk
OpenStudy (anonymous):
Post your work on here so I can see it.
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
so c
OpenStudy (anonymous):
I want to see your work buddy. :)
OpenStudy (anonymous):
y-=3(x-2)
OpenStudy (anonymous):
y-4=3(x-2)
OpenStudy (anonymous):
Okay, now what?
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OpenStudy (anonymous):
then y=3(x-2)-4
OpenStudy (anonymous):
Not quite, you have to add for to both sides in order to isolate y.
OpenStudy (anonymous):
ohhh
OpenStudy (anonymous):
then x=1
OpenStudy (anonymous):
I want to see all of the work. :)
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OpenStudy (anonymous):
y=3(x-2)-4
Now what?
OpenStudy (anonymous):
k y-4=3(x-2)
then y=3(x-2)-4
then x-1
OpenStudy (anonymous):
How do you figure x = -1?
OpenStudy (anonymous):
because I subtract 3 from 2
OpenStudy (anonymous):
That's not how it works buddy. :) 3 is multiplied by the sum of x - 2.
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OpenStudy (anonymous):
You can't find x with this equation. You have to sub it in with the point you're given and solve for y.
OpenStudy (anonymous):
The reason I'm using -2 for x is because the question gives you that as an x value.
OpenStudy (anonymous):
y = 3(x - 2) - 4
And then you plug -2 in for x.
y = 3(-2 - 2) - 4
OpenStudy (anonymous):
ughhh this is y I hate math
OpenStudy (anonymous):
It's okay, it's difficult sometimes. :) Solve for y when x is -2
y = 3(x - 2) - 4
y = 3(-2 - 2) - 4
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OpenStudy (anonymous):
You there?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
im jus thinking
OpenStudy (anonymous):
Okay, so solve this:
y = 3(-2 - 2) - 4
Do you know the first step?
OpenStudy (anonymous):
i think you subtract 4 from each side
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OpenStudy (anonymous):
No, you already isolated y.
OpenStudy (anonymous):
PEMDAS
P - parenthesis
E - exponents
M - multiplication
D - division
A - addition
S - subtraction
That's the order of operations, so P comes first. Solve what's inside the parenthesis.
OpenStudy (anonymous):
y = 3(-2 - 2) - 4
P
(-2 - 2)
OpenStudy (anonymous):
-2-2
OpenStudy (anonymous):
Those are minus signs. derp
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OpenStudy (anonymous):
(-2-2)
OpenStudy (anonymous):
(negative two minus two)
OpenStudy (anonymous):
yea i no
OpenStudy (anonymous):
Okay, so what is it?
OpenStudy (anonymous):
-4
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OpenStudy (anonymous):
Yes, so:
y = 3(-2 - 2) - 4
After P
y = 3(-4) - 4
OpenStudy (anonymous):
So there are no exponents, skip E, then go to M.
OpenStudy (anonymous):
u multiply 3 from -4
OpenStudy (anonymous):
Yes.
OpenStudy (anonymous):
7
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OpenStudy (anonymous):
No, that would be 3 + 4, not 3 * -4.
OpenStudy (anonymous):
soo sorry -12
OpenStudy (anonymous):
It's fine, so:
y = -12 - 4
OpenStudy (anonymous):
Now just subtract.
OpenStudy (anonymous):
negative 12 right
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OpenStudy (anonymous):
-12 - 4 is not -12. :)
OpenStudy (anonymous):
no i was saying if the 12 was negative loll
OpenStudy (anonymous):
Oh, lol yeah.
OpenStudy (anonymous):
-16
OpenStudy (anonymous):
Yes, y = -16.
So when x = -2, y = -16 for this equation.
(-2, -16)
Which is not:
(-2, 4)
So C is false. :)
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OpenStudy (anonymous):
Hey, do me a favor?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
I sent you a link to my photo so you can join the domo clan. :D just put it as your picture.
OpenStudy (anonymous):
k loll
OpenStudy (anonymous):
but in this problem it has to be more than one answer
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OpenStudy (anonymous):
No, it has to be 1 or more.
OpenStudy (anonymous):
Try doing D by yourself, show me each step as you complete it.
OpenStudy (anonymous):
k
OpenStudy (anonymous):
and join the Domo clan. o.o
OpenStudy (anonymous):
You there?
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OpenStudy (anonymous):
yea
OpenStudy (anonymous):
@jcpd910 I here
OpenStudy (anonymous):
k
Can you change your pic to the domo plz?
OpenStudy (anonymous):
kk
OpenStudy (anonymous):
so the answers must be d,e,f
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OpenStudy (anonymous):
No, we didn't check them.
OpenStudy (anonymous):
We have to check and make sure.
OpenStudy (anonymous):
k I did
OpenStudy (anonymous):
damn that domo is sexy
OpenStudy (anonymous):
mk try doing d.
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OpenStudy (anonymous):
because if a,b,c are false that mean the other 3 are true
OpenStudy (anonymous):
loll
OpenStudy (anonymous):
No, there only has to be one right answer.
OpenStudy (anonymous):
Check all that apply means: Check any answer that is right
Which doesn't mean three are right.
OpenStudy (anonymous):
no on this problem it says check all that apply
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OpenStudy (anonymous):
I know.
OpenStudy (anonymous):
Look, watch:
D.y-1=3(x-13)
y = 3(x - 3) + 1
y = 3(-2 - 3) + 1
y = 3*5 + 1
y = 15 + 1
y = 16
So when x = -2 y = 16
Therefor this is false.