anonymous
  • anonymous
Using the point-slope form, write an equation for the line with slope 0, containing the point (4,2).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
point-slope form: \[y-y _{1}=m(x-x _{1})\]
Teddyiswatshecallsme
  • 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
  • anonymous
Are those the letters we need to solve?

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Teddyiswatshecallsme
  • Teddyiswatshecallsme
Well were trying to isolate y. but for now we need to know where everything goes before we start solving.
anonymous
  • anonymous
Oh then I'm not sure what would x sub 1 and y sub 1 equal to
Teddyiswatshecallsme
  • 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
  • anonymous
Then what would we substitute in for the x and y values in the equation?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
4,2
anonymous
  • anonymous
I thought you said we substitute those numbers in for x sub 1 and y sub 1
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Yes!
Teddyiswatshecallsme
  • Teddyiswatshecallsme
y - (y sub one) = m(x - *x sub one*) Look at the PSF equation again.
anonymous
  • anonymous
Ok so I'm substituting the coordinates and this is what I understand:\[2-(2)=m(4-4)\]
anonymous
  • anonymous
Is that right?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
No you only do it for y1 and x1, you don't substitute it in for ALL the variables.
Teddyiswatshecallsme
  • 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
  • Teddyiswatshecallsme
What does it tell you that the slope(m) is?
anonymous
  • anonymous
It's 0.
anonymous
  • anonymous
So how do I solve for both x and y?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Exactly so what would our equation look like now?
anonymous
  • anonymous
It would look like y - 2 = 0(x - 4)
anonymous
  • anonymous
Right?
anonymous
  • anonymous
@Teddyiswatshecallsme r u there?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Yes I am! Sorry.
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Yes it would look like that you are correct! Now do you know about the distributive property of multiplication?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
@200205650
anonymous
  • anonymous
What is that again?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
he distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
anonymous
  • anonymous
So how would you use that when applying to the formula?
Teddyiswatshecallsme
  • 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
  • anonymous
Oh like that! Sorry! It's harder to understand some of the terms.
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Yeah its a bit confusing sometimes so it because y - 2 = x - 4
anonymous
  • anonymous
Wouldn't the 4 become a 0 when you are distributing?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Now we need to do some order of operations to get that -2 over to the right side of the equation.
Teddyiswatshecallsme
  • 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
  • anonymous
Still 4 dollars. But I thought anything multiplied with 0 will become 0.
anonymous
  • anonymous
Aren't you multiplying in this case?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Hmmm. Hold on. I need to do a bit of research. cx
anonymous
  • anonymous
Alright
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Do you have multiple choice options?
Teddyiswatshecallsme
  • Teddyiswatshecallsme
I believe you are correct. So that would end up being, y - 2 = x So what do you need to do next?
anonymous
  • anonymous
No I don't unfortunately. :/
anonymous
  • anonymous
Put the -2 on the other side of the equal sign
anonymous
  • anonymous
So the answer would be y = x + 2.
Teddyiswatshecallsme
  • Teddyiswatshecallsme
Yes!
Teddyiswatshecallsme
  • Teddyiswatshecallsme
You are correct!
anonymous
  • anonymous
Thanks for your help!
Teddyiswatshecallsme
  • Teddyiswatshecallsme
You're welcome! :D Thanks for your cooperation.
anonymous
  • anonymous
Your welcome!

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