Relations and Functions
y=-4x+3
Complete the table of values for the equation:
x: -3, -1, 0, 4
y:

- YanaSidlinskiy

Relations and Functions
y=-4x+3
Complete the table of values for the equation:
x: -3, -1, 0, 4
y:

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- YanaSidlinskiy

My first step would be:
-4(-3) + 3
12+3
Right?

- ganeshie8

Yes!

- YanaSidlinskiy

Then...
-4(-1) + 3
4+3
7
Right?

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## More answers

- ganeshie8

Looks good! I'm sure you're going to complete rest of the table just fine

- YanaSidlinskiy

-4(0) + 3
0+3
3
-4(4) + 3
-16+3
-13

- YanaSidlinskiy

Hopefully, ganeshie! I hope it's correct lol.

- ganeshie8

All correct. good job !

- ganeshie8

As you can see we just need to follow the simple rules

- YanaSidlinskiy

Wait, wait! I think I'm putting the equation up wrong.... Like on my actual worksheet it's
y-4x=3
This equation would change all the answers, right? If it will then I did it wrong. Idk why I was switching up everything.

- ganeshie8

Yes scratch everything and start over

- ganeshie8

\[y-4x~=~3\]
is same as
\[y~=~4x+3\]

- YanaSidlinskiy

How?

- YanaSidlinskiy

The 4x is negative... How would it be positive?

- ganeshie8

We're given below equation\[y-4x~=~3\]
Since it is an equation, adding something to "both" sides won't change it, yes ?

- ganeshie8

add \(4x\) both sides :
\[y-4x\color{red}{+4x}~=~3\color{red}{+4x}\]

- YanaSidlinskiy

Ohhhh, ok! I see! So like even if I had an equation of lets say:
y-8x +5
I would get:
y= 8x+5
Right?

- ganeshie8

thats right!

- YanaSidlinskiy

Ahh, ok! What about like if I had lets say umm... y+10x - 5 I'd get:
y = -10x - 5
Right?

- ganeshie8

Is it
\(y+10x-5\)
or
\(y+10x=5\)
?

- YanaSidlinskiy

y+10x= -5
My bad for the confusion.

- YanaSidlinskiy

It'd be y = -10x - 5. Is that correct?

- ganeshie8

Correct!
Notice that you're simply subtracting \(10x\) both sides to get that

- ganeshie8

y+10x= -5
subtract 10x both sides
y+10x-10x = -5-10x
y = -5-10x

- YanaSidlinskiy

Yes, yes! Wow! I honestly don't even know what I would have done without you! Wow!! I'm soooo happy I understand this now!!

- ganeshie8

takes time, follow the rules and you will be fine :)

- YanaSidlinskiy

Yes, definitely. Like I knew I had to do something with the equation, I just didn't know why and how. Like I understand this so much better!!! Thank you!!!

- ganeshie8

the most important rule with equations is that you're allowed to add/subtract "same thing" to both sides of an equation.

- ganeshie8

np :)

- YanaSidlinskiy

Yes, definitely!

- YanaSidlinskiy

Well, guess who I'll be coming to next time I need help;) You know it;)

- ganeshie8

sure... any time !

- YanaSidlinskiy

Alrighty! Thanks again! I appreciate it so much! As of now, I do have to go and move on to the next level of topic.

- ganeshie8

just an example, if
```
yana = banana
```
then
```
yana + apple = banana + apple
```
you're allowed to add same thing (apple) to both sides.
above both are called equations because they have a "=" symbol in them. both the equations are same.

- YanaSidlinskiy

LOL, haha! I'm so going to save that haha! Thanks for that example;)

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