Choose the system of equations which matches the following graph.
a) x – 2y = 8
2x + 4y = 12
b) x – 2y = 8
2x – 4y = 12
c) x + 2y = 8
2x + 4y = 12
d) x + 2y = 8
2x – 4y = 12

- anonymous

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- anonymous

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- anonymous

@AkashdeepDeb please help

- AkashdeepDeb

If you look in the graph you'll see that the 2 lines are parrallel. right?

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## More answers

- anonymous

yes

- AkashdeepDeb

Do you know how to identify parallrllines from the equations given?

- anonymous

nope

- anonymous

@AkashdeepDeb

- AkashdeepDeb

Do you know that this is the standard for of 2 given equations?
A1x+ B1y + C1 = 0
A2x + B2x + C2 = 0

- anonymous

yes

- AkashdeepDeb

You need to know some rules to solve these questions then.
In the 2 equations I have mentioned above...
If A1/A2 is not equal to B1/B2 then the lines intersect at one point.
If A1/A2 is equal to B1/B2 and not equal to C1/C2 the lines r parallel.
If A1/A2 = B1/B2 = C1/C2 then they're the same lines.
Getting this? :)

- anonymous

yea kinda

- AkashdeepDeb

Okay, I want you to write all the equations in Standard form.
And tell me which one is a parallel line.

- AkashdeepDeb

I can tell you another way. Do you want that?

- anonymous

yea

- anonymous

by seeing the graph, you can just use their x- and y- intercepts..

- AkashdeepDeb

Find the slope of the parallel lines in the graph.
Can you do that? :)

- anonymous

@AkashdeepDeb by putting the equation in standard form i set them equal to 0 right?

- anonymous

i don't know how to do that

- AkashdeepDeb

Yes but this is the new method I am teching you now.
Stop the previous one.
Tell me if you know how to find the slope of a line.
RISE/RUN.

- anonymous

i'm not good with this stuff

- anonymous

so i need help

- AkashdeepDeb

No problemo.
Do you know what RISE/RUN is?

- anonymous

yea

- AkashdeepDeb

If I give you 2 POINTS can you find their slope then?

- anonymous

i'll need help to find the slope

- anonymous

@babyblue123 can you determine the interceps by seeing the graph alone?

- anonymous

@Jaseem18 i don't understand what u just asked me

- AkashdeepDeb

RULES.
If you have 2 points of a line say (x1,y1) and (x2,y2)
Then the slope of the line m = RISE/RUN = (y2-y1)/(x2-x1)
RULE 2.
Two parallel lines have the same slope becuase they are inclined similarly.
Getting this?

- anonymous

yes

- anonymous

you do not understand about intercepts .. oh sorry about that

- anonymous

i think Akash will just help you on this .. since he started ..

- anonymous

@Jaseem18 yes its ok i really suck a math specially with graphs

- AkashdeepDeb

Okay. So now can you find 2 points on the graphic you attached.
I just want 2 points of the bottm line.

- anonymous

(3,1)

- AkashdeepDeb

I want 2 points.
And if we go 3 to the right and 1 up.
The point is not on the line.

- anonymous

ok 2 to the right and 1 up

- anonymous

the point is (2,2)

- AkashdeepDeb

yes.
Any other hold on.

- anonymous

ummm

- anonymous

4 to the left and 3 up
point is (-4,5)

- AkashdeepDeb

Hold on I'll draw it and give you a solution.
But you have to promise me you'll go through what EVER I WROTE here once more.
Then only will you understand this.

- anonymous

okay

- anonymous

i promise

- AkashdeepDeb

Okay, good.
Then just go through this now.
I'll post in 2 minutes. :)

- anonymous

okay =D

- AkashdeepDeb

Tell me if you understood till here. :)

##### 1 Attachment

- AkashdeepDeb

##### 1 Attachment

- AkashdeepDeb

Find which are the ONLY 2 EQUATIONS [One option]
Which have the same slope as -1/2
Understood? :)

- AkashdeepDeb

@babyblue123

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