Question

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

Answer 1

@AkashdeepDeb please help

Answer 2

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

Answer 3

yes

Answer 4

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

Answer 5

nope

Answer 6

@AkashdeepDeb

Answer 7

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

Answer 8

yes

Answer 9

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? :)

Answer 10

yea kinda

Answer 11

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

Answer 12

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

Answer 13

yea

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

i don't know how to do that

Answer 18

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.

Answer 19

i'm not good with this stuff

Answer 20

so i need help

Answer 21

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

Answer 22

yea

Answer 23

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

Answer 24

i'll need help to find the slope

Answer 25

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

Answer 26

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

Answer 27

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?

Answer 28

yes

Answer 29

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

Answer 30

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

Answer 31

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

Answer 32

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

Answer 33

(3,1)

Answer 34

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

Answer 35

ok 2 to the right and 1 up

Answer 36

the point is (2,2)

Answer 37

yes.
Any other hold on.

Answer 38

ummm

Answer 39

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

Answer 40

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.

Answer 41

okay

Answer 42

i promise

Answer 43

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

Answer 44

okay =D

Answer 45

Tell me if you understood till here. :)

Answer 46

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

Understood? :)

Answer 47

@babyblue123