Mathematics
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OpenStudy (anonymous):
@sleepyjess
What is the solution to the system?
Line 1
x y
-2 -4
-1 -1
Line 2
x y
2 3
3 1
( ? , ? )
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OpenStudy (anonymous):
@Jamal5337 ?
OpenStudy (anonymous):
Is this dealing with input output tables again?
OpenStudy (anonymous):
Honestly Idk The topic is System of equations
OpenStudy (anonymous):
Line 1 only has 2 inputs and outputs in it?
OpenStudy (anonymous):
Yes...
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OpenStudy (anonymous):
Alright, so the best way I see of solving this is first graphing the equations.
OpenStudy (anonymous):
Ok lemme do that real quick
OpenStudy (anonymous):
Ok I graphed them
OpenStudy (anonymous):
Can I see the graph?
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OpenStudy (anonymous):
Idk how to screen shot
OpenStudy (anonymous):
Hello?
OpenStudy (anonymous):
I'm still here, one moment please.
OpenStudy (anonymous):
Oh ok(:
OpenStudy (anonymous):
What did you get for the answer?
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OpenStudy (anonymous):
Nothing yet.......
OpenStudy (anonymous):
Alrighty then,
OpenStudy (anonymous):
The first thing we need to do, is to find a pattern in the funtion.
OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
We'll use (-1,-1) and (3,1) as our base I suppose.
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OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
Now then, Since this is on a table, we could find the slope first, which would be easier in my opinion.
OpenStudy (anonymous):
Do you know what Point slope form is?
OpenStudy (anonymous):
2?
OpenStudy (anonymous):
The formula for point slope form is y2-y1/x2-x1
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OpenStudy (anonymous):
Using point slope form while find you the slope of a line when you're given two different points.
OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
(-1,-1) and (3, 1),
x1 y1 x2 y2
OpenStudy (anonymous):
Since y1 is a negative sign and it goes by y2-y1, two negatives make a positive, therefore it would become 1+1/x2-x1
OpenStudy (anonymous):
You know, since 5 minus negative 5 is ten.
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OpenStudy (anonymous):
So, 1+1/3-1 is what we got now.
OpenStudy (anonymous):
2/3-1=2/2, which is equal to 1.
OpenStudy (anonymous):
2/2
OpenStudy (anonymous):
Yup, that's the slope of the line. So as we go down x by one number, y will rise by one number itself.
OpenStudy (anonymous):
Ok Im gonaa try and do the second one a tell u what I get
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OpenStudy (anonymous):
actually, it would be better if we used the points on line two to do this same equation, my apologies.
OpenStudy (anonymous):
Ok
OpenStudy (anonymous):
So The points of line two is (2,3) and (3,1)
OpenStudy (anonymous):
We'll put this into point-slope form.
OpenStudy (anonymous):
So, 1-3/3-2
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OpenStudy (anonymous):
That would be simplified to -2/1
OpenStudy (anonymous):
-2/1
OpenStudy (anonymous):
-2 divided by 1 simplifies to negative two
OpenStudy (anonymous):
Which is the slope of line two.
OpenStudy (anonymous):
-2?
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OpenStudy (anonymous):
So, the next X point will be 4, if we follow the past X pattern (2) (3)
OpenStudy (anonymous):
And yes, negative two.
OpenStudy (anonymous):
So the answer is (1,-2)?
OpenStudy (anonymous):
Nope
OpenStudy (anonymous):
Oh :/
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OpenStudy (anonymous):
The answer would be, (4,-1)
OpenStudy (anonymous):
Thx so much!!!
OpenStudy (anonymous):
mhm
OpenStudy (anonymous):
U were wrong the answer is (1,5)