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

- anonymous

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

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- anonymous

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

- Teddyiswatshecallsme

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.

- anonymous

Are those the letters we need to solve?

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## More answers

- Teddyiswatshecallsme

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

- anonymous

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

- Teddyiswatshecallsme

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.

- anonymous

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

- Teddyiswatshecallsme

4,2

- anonymous

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

- Teddyiswatshecallsme

Yes!

- Teddyiswatshecallsme

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

- anonymous

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

- anonymous

Is that right?

- Teddyiswatshecallsme

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

- Teddyiswatshecallsme

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

- Teddyiswatshecallsme

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

- anonymous

It's 0.

- anonymous

So how do I solve for both x and y?

- Teddyiswatshecallsme

Exactly so what would our equation look like now?

- anonymous

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

- anonymous

Right?

- anonymous

@Teddyiswatshecallsme r u there?

- Teddyiswatshecallsme

Yes I am! Sorry.

- Teddyiswatshecallsme

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

- Teddyiswatshecallsme

@200205650

- anonymous

What is that again?

- Teddyiswatshecallsme

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

- anonymous

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

- Teddyiswatshecallsme

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

- anonymous

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

- Teddyiswatshecallsme

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

- anonymous

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

- Teddyiswatshecallsme

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

- Teddyiswatshecallsme

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?

- anonymous

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

- anonymous

Aren't you multiplying in this case?

- Teddyiswatshecallsme

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

- anonymous

Alright

- Teddyiswatshecallsme

Do you have multiple choice options?

- Teddyiswatshecallsme

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

- anonymous

No I don't unfortunately. :/

- anonymous

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

- anonymous

So the answer would be y = x + 2.

- Teddyiswatshecallsme

Yes!

- Teddyiswatshecallsme

You are correct!

- anonymous

Thanks for your help!

- Teddyiswatshecallsme

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

- anonymous

Your welcome!

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