Write an equation of the line, in point-slope form, that passes through the two points (-2, 15) and (9, -18)
Please explain this to me so I can jot it down in my notebook for future reference. Will medal/fan as always.

- ayeeeitskateee

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- pooja195

Find the slope first
\[\LARGE \frac{y_2-y_1}{x_2-x_1}=slope\]

- pooja195

If you need help finding the slope let me know.

- ayeeeitskateee

Hold on. Let me write it. :)

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## More answers

- pooja195

:) ok

- ayeeeitskateee

18+15 over 9-2?

- ayeeeitskateee

-18, sorry.

- ayeeeitskateee

-3/7 is what I got.

- ayeeeitskateee

The book gives me these answer choices and I'm totally not sure.
y-2=-3(x-15)
y-2=-1/3(x+15)
y-15=-3(x+2)
y-15=-1/3(x+2)
What does the x+ a number mean? :(

- pooja195

\[\LARGE \frac{-18-15}{9--2}=slope\]
\[\LARGE \frac{-18-15}{9+2}=\frac{- 3 }{ 11 }\]

- ayeeeitskateee

Oh. - 15. I did +15.

- pooja195

Well a negative + negative makes the plus sign its just 15 not -15 so its just -3 same thing with the bottom it was 9--2 right? so i just added the 2 to get 11

- pooja195

Next step
\[\huge y-y_1=m(x-x_1)\]
where
m=slope
(x1,y1)

- ayeeeitskateee

I understand how the formula goes. I just haven't used it in a few years. lol. But thank you for refreshing my memory.
Anyways, I got y-15=-3/11(x-2) and that's not a choice. :( Is there another step?

- pooja195

What are your choices?

- ayeeeitskateee

I have already said them above. Let me copy paste. :)

- ayeeeitskateee

The book gives me these answer choices and I'm totally not sure.
y-2=-3(x-15)
y-2=-1/3(x+15)
y-15=-3(x+2)
y-15=-1/3(x+2)
What does the x+ a number mean? :(
thats what I said. My choices are those 4.

- pooja195

Like i said before the 2 is a negative 2 if two negative signs are next to each other they become postivie

- ayeeeitskateee

Okay, what about the slope? It doesnt match up.. or maybe I just suck at math. lol.

- pooja195

\(\color{#0cbb34}{\text{Originally Posted by}}\) @ayeeeitskateee
I understand how the formula goes. I just haven't used it in a few years. lol. But thank you for refreshing my memory.
Anyways, I got y-15=-3/11(x-2) and that's not a choice. :( Is there another step?
\(\color{#0cbb34}{\text{End of Quote}}\)
\[\huge~\rm~y-15=-3/11(x-2) \]
\[\huge~\rm~y-15=-3/11(x-(\huge\color{red}{-}2) \]

- pooja195

Ok lets redo the slope hold on
\[\LARGE \frac{-18-15}{9--2}=slope\]
\[\LARGE \frac{-18-15}{9+2}=\frac{- 33 }{ 11 }\]

- pooja195

We can simplfy the slope (we made a mistake earlier -18-15=-33 not -3 )

- ayeeeitskateee

-3?

- ayeeeitskateee

for the slope?

- pooja195

Yep

- pooja195

So what would our final answer be? (which answer choice) ?

- ayeeeitskateee

C. :)

- ayeeeitskateee

y-15=-3(x+2)

- pooja195

Well done :)

- ayeeeitskateee

Thank you so much. it's rare somebody can help as much as you did!!

- pooja195

awee :') thanks let me know if you need more help! :D

- ayeeeitskateee

Will do. :)

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