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Mathematics 19 Online
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 ( ? , ? )

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...

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?

OpenStudy (anonymous):

https://www.desmos.com/calculator

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?

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.

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

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.

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

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

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?

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 :/

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)

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