Question

Find the slope, if it exists, of the line containing the pair of points (5,2) and (-5,2).

Answer 1

Notice how the y coordinates are the same. What do you think that means for the slope?

Answer 2

No slope.

Answer 3

close, but a slope does actually exist

Answer 4

Ah, ok.

Answer 5

what else do you think the slope is

Answer 6

I would of originally said undefined slope.

Answer 7

that's if the line was vertical and the x coordinates were equal

Answer 8

but the slope isn't undefined in this case

Answer 9

Ok. I'm sorry I just have trouble understanding all this type of math.

Answer 10

that's ok, use the slope formula

\[\Large m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 11

There is a difference:

\[\frac{0}{Anything( \ne 0)} \implies 0 (Defined)\]

\[\frac{Anything}{0} \implies Undefined\]

Answer 12

Oh fun.

Answer 13

Firstly you should learn what are x and y coordinates in \((5,2)\)..

Can you tell me what is x coordinate and what is y coordinate here ??

Answer 14

So it would be: \[m=2-(-5)\]---------\[2-5\]

Answer 15

Theslope is zero

Answer 16

X = 5. Y = 2.

Answer 17

Yes great..
Similarly what is x and y for other point given to you ??

Answer 18

X = -5 and Y = 2.

Answer 19

Yes..

Now subtract y coordinates of both the points..

Answer 20

\[5--5=10\]

Answer 21

But you said these are values of X ???

Answer 22

I am saying to subtract Y coordinates..

Answer 23

Oh sorry lol. 2 - 2 = 0

Answer 24

Yes..

This will give you some hint about the answer but we have not done yet..

Now subtract the X coordinates..

Answer 25

You will subtract in the same order as you did for Y coordinates..

Answer 26

5 - -5=10

Answer 27

Yes...

Now divide both the answer you got..

Answer 28

First answer you got is 0..

Secondly you got 10..

Divide them..

Answer 29

10/0 = 0

Answer 30

How ??

First answer you got was 0..

Answer 31

First Answer divided by Second Answer..

Answer 32

You can't divide by 0.

Answer 33

But you are dividing this not I am..

Answer 34

See if your first answer was 5 and Second Answer was 10

Then:
First Answer divided by Second Answer means:

5/10

Not 10/5..

Answer 35

Now tell me your first answer is 0 and second answer is 10

So what is First Answer divided by Second Answer ??

Answer 36

It is a rule that you can not divide anything by 0 because 0 is basically nothing. And dividing 10 by 0 would be 0. Since 10 * 0 = 0. If you divide 0 by 10 then the answer is not possible. You never said anything either about dividing by 5, you just said to divide the answers, which was 0 and 10.

Answer 37

Yes if you have 0 and 10

Then why are you dividing like 10/0 ??



Can't you divide like 0/10 ???

Answer 38

I said to divide the answer in particular order..

Answer 39

I did it both ways, one way it is not possible the other is 0. Check on the calculator if you don't believe me it will say the same thing. Like I just checked.

Answer 40

Okay..

Just replace the question mark with the respective values:

\[\frac{First \; Answer}{Second \;Answer} = \frac{?}{?}\]

First answer is 0 and second answer is 10..

Plug in the values there..

Answer 41

0 over 10.

Answer 42

Yes..

Can you tell me what is the value of this ??

Answer 43

0/10 = ??

Answer 44

This I don't get cause 10*0=0 and 0*10=0

Answer 45

Remember:

0 by anything is 0..

But anything must not be 0..

0/10 = 0...

This point you are getting ??

Answer 46

0/1, 0/2, 0/3 etc all are 0..

But:

0/0 is not 0.

Rather it is undefined..

Answer 47

So your saying it is 10?

Answer 48

Can you tell me where I have written 0/10 = 10 ??

Answer 49

I think your eyes are somewhat weak :

\[\Huge \color{green}{\frac{0}{Anything(except \; 0)} = 0}\]

Answer 50

So now tell me what is the value of:

\[\Huge \color{blue}{\frac{0}{10} = ??}\]

Answer 51

With all due respect you saying my eyes are weak is rude. I have 20/20 vision thank you very much. And my problem is that your not explaining it to where I understand and your wanting to argue about being able to divide 0 by 10 when you can not.

Answer 52

@MathFrustration it is possible 0 is divisible 10

Answer 53

that * 0

Answer 54

0 divisible by 10*

Answer 55

All calculator's said it is not possible.

Answer 56

what do you mean? o.0