Question

Using the point-slope form, write an equation for the line with slope 0, containing the point (4,2).

Answer 1

point-slope form: \[y-y _{1}=m(x-x _{1})\]

Answer 2

If were using point slope form(PSF) then were going to substitute the values of the ordered pairs into our equation. So knowing that our ordered pairs go in the order (x,y) *alphabetical order* then what values would we substitute in for y sub one and x sub one.

Answer 3

Are those the letters we need to solve?

Answer 4

Well were trying to isolate y. but for now we need to know where everything goes before we start solving.

Answer 5

Oh then I'm not sure what would x sub 1 and y sub 1 equal to

Answer 6

Your ordered pair is (4,2) and we know that the ordered pair follows (x,y) so you're literally just taking the y and x value and plugging them in for your y1 and x1 values. or in other words y sub 1 and x sub 1.

Answer 7

Then what would we substitute in for the x and y values in the equation?

Answer 8

4,2

Answer 9

I thought you said we substitute those numbers in for x sub 1 and y sub 1

Answer 10

Yes!

Answer 11

y - (y sub one) = m(x - *x sub one*) Look at the PSF equation again.

Answer 12

Ok so I'm substituting the coordinates and this is what I understand:\[2-(2)=m(4-4)\]

Answer 13

Is that right?

Answer 14

No you only do it for y1 and x1, you don't substitute it in for ALL the variables.

Answer 15

Its going to look like y - 2 = m(x - 4) Now we have to substitute in the slope which is the value for m.

Answer 16

What does it tell you that the slope(m) is?

Answer 17

It's 0.

Answer 18

So how do I solve for both x and y?

Answer 19

Exactly so what would our equation look like now?

Answer 20

It would look like y - 2 = 0(x - 4)

Answer 21

Right?

Answer 22

@Teddyiswatshecallsme r u there?

Answer 23

Yes I am! Sorry.

Answer 24

Yes it would look like that you are correct! Now do you know about the distributive property of multiplication?

Answer 25

@200205650

Answer 26

What is that again?

Answer 27

he distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

Answer 28

So how would you use that when applying to the formula?

Answer 29

SO basically you're going to DISTRIBUTE the 0 to the x and to the 4 and it becomes x because you're just distributing nothing

Answer 30

Oh like that! Sorry! It's harder to understand some of the terms.

Answer 31

Yeah its a bit confusing sometimes so it because y - 2 = x - 4

Answer 32

Wouldn't the 4 become a 0 when you are distributing?

Answer 33

Now we need to do some order of operations to get that -2 over to the right side of the equation.

Answer 34

Well no. Because its like if i was giving out nothing. If i give you nothing and you have 4 dollars to begin with how many dollars are you left with?

Answer 35

Still 4 dollars. But I thought anything multiplied with 0 will become 0.

Answer 36

Aren't you multiplying in this case?

Answer 37

Hmmm. Hold on. I need to do a bit of research. cx

Answer 38

Alright

Answer 39

Do you have multiple choice options?

Answer 40

I believe you are correct. So that would end up being, y - 2 = x So what do you need to do next?

Answer 41

No I don't unfortunately. :/

Answer 42

Put the -2 on the other side of the equal sign

Answer 43

So the answer would be y = x + 2.

Answer 44

Yes!

Answer 45

You are correct!

Answer 46

Thanks for your help!

Answer 47

You're welcome! :D
Thanks for your cooperation.

Answer 48

Your welcome!