Question

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

Answer 1

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

Answer 2

Yes!

Answer 3

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

Answer 4

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

Answer 5

-4(0) + 3
0+3
3

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

Answer 6

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

Answer 7

All correct. good job !

Answer 8

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

Answer 9

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.

Answer 10

Yes scratch everything and start over

Answer 11

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

Answer 12

How?

Answer 13

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

Answer 14

We're given below equation\[y-4x~=~3\]

Since it is an equation, adding something to "both" sides won't change it, yes ?

Answer 15

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

Answer 16

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?

Answer 17

thats right!

Answer 18

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

Answer 19

Is it
\(y+10x-5\)

or

\(y+10x=5\)

?

Answer 20

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

Answer 21

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

Answer 22

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

Answer 23

y+10x= -5

subtract 10x both sides

y+10x-10x = -5-10x

y = -5-10x

Answer 24

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!!

Answer 25

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

Answer 26

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!!!

Answer 27

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

Answer 28

np :)

Answer 29

Yes, definitely!

Answer 30

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

Answer 31

sure... any time !

Answer 32

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.

Answer 33

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.

Answer 34

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