Can someone help me with a few slope questions?

Question

anonymous · Answer

ello ella :D haha whats up?

ellaella02 · Answer

Not much, you?

anonymous · Answer

same jus doing some work, you need some help?

ellaella02 · Answer

Yeah, I never understood slope and things like that..

anonymous · Answer

well ill help you answer them :D we can work them out together :)

ellaella02 · Answer

Which is an equation in point-slope form for the given point and slope?
 
Point: (1, –7); Slope: -2/3

anonymous · Answer

okay so do you know the point-slope equation?

ellaella02 · Answer

Probably not...

anonymous · Answer

its alright :) 

its  y-y1=m(x-x1)

so 

m=slope

x1 and y1 is our point 

with me so far?

anonymous · Answer

ill be right back :)

ellaella02 · Answer

Yeah, I think so

anonymous · Answer

okay so we simply plug in our point and our slope... 

try it :) tell me what you get

ellaella02 · Answer

Okay 
-7-1=m(-2-3)

anonymous · Answer

not quite but nice try...

 so if m (slope) is -2/3:

y-y1=-2/3(x-x1)

then we plug in our point:

y-(-7)=-2/3(x-1)

change: 

y+7=-2/3(x-1)

understand?

ellaella02 · Answer

I'm going to say yes

anonymous · Answer

okay ill take your word for it haha so y+7=-2/3(x-1) is our answer

ellaella02 · Answer

Awesome! Thank you (:

anonymous · Answer

no problem :P

ellaella02 · Answer

I have a few more? Can you help?

anonymous · Answer

yea ill do my best :D

ellaella02 · Answer

What is the point-slope form of the equation of a line that passes through the point (6, −8) and has a slope of −2?

anonymous · Answer

this is going to be the same thing we just did, think you could try on your own?

anonymous · Answer

ill be right here if you need help :)

anonymous · Answer

@EllaElla02

ellaella02 · Answer

Okay  y+(-8)=-2(x-1)

anonymous · Answer

close :D you made some mistakes but you get the idea ::D haha 

it is jus y+8=-2(x-6)

ellaella02 · Answer

Okay, thank you (: I have three more can you help?

anonymous · Answer

yes!! =(^.^)=

ellaella02 · Answer

Which equations are equations for the line shown? https://static.k12.com/calms_media/media/1511000_1511500/1511271/1/4970b680978becf8435036eaf03e351e7db38994/MS_IMC-140804-180201.jpg Choose all answers that are correct.

ellaella02 · Answer

A https://static.k12.com/bank_packages/files/media/mathml_bf018bb09a7596906335d3bdeff6c2f8b25d4bcf_1.gif B https://static.k12.com/bank_packages/files/media/mathml_937220850d17288fec8649dd4612a5cad014626b_1.gif C https://static.k12.com/bank_packages/files/media/mathml_6e91c038c22cbec9422616b9a77dd8006602d6a0_1.gif D https://static.k12.com/bank_packages/files/media/mathml_bc15cadb43b494e5f071b05d51f072067bc8925b_1.gif

anonymous · Answer

okay so do you know how to find slope from two point?

ellaella02 · Answer

Probably not....

anonymous · Answer

well its y2-y1/x2-x1

so what are the coordinates of our two points on the graph?

ellaella02 · Answer

Um -3,1 and 3,4

anonymous · Answer

yes so we can now label our pairs:

(x1,y1)   (x2,y2)
(-3,1)    (3,4)

anonymous · Answer

so we plug them into our equation :D yay..... <.< haha

ellaella02 · Answer

so 4+1/3+(-3)

ellaella02 · Answer

Sorry I'm a really slow typer

anonymous · Answer

close 4-1/3+3

anonymous · Answer

its alright im not that great either

ellaella02 · Answer

So the answers would be none of them because none of them are that

ellaella02 · Answer

If that makes any sense

anonymous · Answer

not quite... you see we get 3/6 which could be reduced by 3 so we get 1/2
like so:

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