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MasuKasu
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I haven't done Algebra in over 5 years, so I need help with this problem: What’s the equation of a line that passes through points (0, 1) and (2, 3)?
 one year ago
 one year ago
MasuKasu Group Title
I haven't done Algebra in over 5 years, so I need help with this problem: What’s the equation of a line that passes through points (0, 1) and (2, 3)?
 one year ago
 one year ago

This Question is Closed

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
First to find the slope of the line you use the equation: \[\frac{ y _{2}y _{1} }{ x _{2}x _{1} }\] pick one of the pairs to plug into \[y _{2}\] and \[x _{2}\] just make sure to keep the order after you start plugging numbers in. Does this make sense so far?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
you want to obtain y=mx+b and that formula is the formula for slope (aka "m") @masukasu
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
How do I know what numbers to assign to y and x?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
so this is what it will look like once you plug the points in: \[\frac{ (3)  (1) }{ (2)(0) }\]
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
You have the points (0, 1) and (2, 3); you know that 0 and 2 are xvalues and 1 and 3 are yvalues, correct?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
I used the second set of points to use first only so the equation won't look messy. Putting the 1 in the \[y _{1}\] spot allows it to become positive because two negatives make a positive.
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
So, (0, 1) and (2, 3) would look like this with their appropriate values: (x, y) and (x, y) right?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
But you will get the same answer no matter which set of points you plug first, but always be sure to keep the order and correct to your above question
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
so go ahead and solve for the slope (m) and tell me what you get
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
But, the example of the order of my values(in my last comment) are correct, right?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
yes you are correct = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Ah! Thank you. I'll try to solve the problem. One minute (:
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
now that is only part of it, there is another equation to arrive to the final equation
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
once you find the slope I can tell you the next part = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
And I would multiply \[x{2}\] and \[y{2}\] like any other number with power, right? i.e. 2 x 2 and 3 x 3
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
Oh I'm sorry, the subscript 1 and 2 are only there to decipher between the different values those aren't exponents
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Ohhh ok, thank you. I couldn't remember the right terminology either, sorry. But, I think it's: \[\frac{ 4 }{ 1 }\]
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
here let me do this \[\frac{ yy }{ xx }\] do you see how this can look like the answer would be 0 right? that's why they put the 1 and 2 on the x and y to determine between the two sets of points
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
your numerator is correct double check your denominator (20) = ?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Pff... Sorry. I mixed my numbers up >.<
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
no apologies = ) I was just on here earlier getting help and I did the same thing lol ; D
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Essentially it comes out to \[\frac{ 2 }{ 1 }\]
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
lol I guess we all make mistakes haha! It's how we learn.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
correct = ) so that is your "m" or slope
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
yay! Alright, so that should be written out like so: \[y =2x +b\]
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
And b is the 'base', right?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
the next equation you will need is: \[yy _{1} = m (xx _{1})\] Now don't get confused that the \[y _{1}\] and \[x _{1}\] are the same as the ones above you can choose either set of points to plug in. The regular y and x are the ones that will remain in the equation after plugging in the set of points which will give you the y=mx+b. Does this make sense so far?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
I can't remember if it is called the base but that will be your yintercept once you graph it
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
Ok so i chose the points (2,3) to use bc I like positive numbers lol Plug in the set of points and what you got for m into the equation \[y(3)=(2)(x(2))\] Tell me what you get after solving that
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
@masukasu
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Sorry. Someone had to use my laptop.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
that's ok = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Ok, I'm going to solve that. One minute (:
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Wait... Do I NEED the parenthesis around the numbers? Or does it not really change anything?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
It's just easier to see if you have any sign changes. Now say you used the other set of points instead of the positive numbers you would end up with this: \[y(1) = (2)(x0) \] It's safe to have that parentheses around the 1 bc the sign of it changes to y+1 which will screw things up when you have to solve for y
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
but it will only screw things up when you have to solve for y if you forget to change the sign of the 1.
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
This equation is a little confusing. I'm used to it looking like \[2\left( x 2 \right)=y \left( 3 \right)\] but even then, it's a little difficult.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
ok so the only difference is the sides of the equation are on opposite sides = ) do you know how to factor? I'll help you step by step = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
I would bring the 3 over and it would become a +3, then it would look like this:\[2\left( x2 \right)+3=y\] I think
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Factoring... Uh lol Is that factoring? I can't remember. Am I able to reverse the equation like I did though?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
that is a correct move but that's not factoring. Take a look at the 2(x2): when you see something like this you use factoring where you take the front number and multiply it by both numbers inside the parentheses. So you would have 2*x  4 then tack on what's left in the equation: 2x4+3=y Then simplify
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
OH! I remember now!
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Well... that part at least
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
dw:1359321905435:dw
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
And then that would turn into \[y =2x12\] right?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
No wait.... Ugh! I think that's wrong actually.
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
lol Yeah, I loved the Illustration haha!
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
no look at it this way: \[y= 2x+(4) +3\] \[y=2x +(1) \] \[y=2x1\] Does that make sense? = D
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
dw:1359322373754:dw
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Trying to rework the problem so I can better understand it...
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
(2 x X)=2x (2 x 2)=4 y=2x ???????????? I can't figure out how you got the 4
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
I'm sorry I keep doing it backwards from what you are used to = ( I have my blonde moments lol I'm going to draw it for you and instead try not moving the 3 as the first move
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
I uh.... Well, I have blonde moments too lol And I've black hair and I'm Asian haha! So, no worries :P
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
I'm a brunette lmfao
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
It's the 2x+(4) part that gets me
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
dw:1359322879897:dw
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
this is the way you're used to right?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
ok here we go lol
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
dw:1359322994943:dw
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
dw:1359323398039:dw
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Hopefully I can get this done before I have to go to work xD I have a history in high school of a single math problem taking me almost 23 hours to figure out.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
it's always good to make an equation have positives so y(+3) can also be written as y+(3) its the same thing
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Trying to understand this... I always had a hard time understanding these problems because of all the positives switching to negatives and vice versa.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
so back to the full equation and i'll make it fast = ) a lot of people have problems with this that's why I'm here to help although my explanations seem long at times lol I apologize = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Ohhh so that's what you did +(4), right?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
Ok so we have: dw:1359323569725:dwdw:1359323806202:dw
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
yes correct! = D
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
\[y=2x + \left( 4+3 \right)\] right? Which becomes \[y =2x\] With the +(4), that + sign pretty much comes out of nowhere, right?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Correction: \[y =2x +1\] Sorry
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
lol yeah pretty much. that's what I've been learning as I've gotten through to later math classes [calculus 2 now = ( lol] is that you can just put random stuff in an equation that isn't even in it just as long as it doesn't change the equation haha and yes you are correct I think you got it = D So do you understand it now?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
Do you feel confident that you can do another one by yourself?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
I would like to try (: So, shoot! Let's see if I can do this.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
ok let me just quickly work one out to make sure its not messy lol like no fractions i hate fractions lol
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
And I had to repeat PreAlgebra once, went on to Algebra 1, and didn't do too well there.
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Ok! And you're 50,000,000 times smarter than me haha!
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
While you're doing that, I'm going to take a super fast shower. Like... 510 minutes.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
ok when you get back I will have the equation already up = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Ok (: Be back soon!
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
What is the equation of a line that passes through points (1,6) and (3,2)?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Back! I'll figure that out real quick.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
kk = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
So, I want to figure out y+mx+b right?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Correction: y=mx+b
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
correct and you will use two formulas to figure that out: \[\frac{ y _{2}y _{1} }{ x _{2}x _{1} }\] \[m(xx _{1})=yy _{1}\]
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
correction: \[m=\frac{ y _{2}y _{1} }{ x _{2}x _{1} }\]
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Ok, so does that second formula come from somewhere or do you have to remember it? lol
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
you have to remember those
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Sorry. Does it come from somewhere within the first formula, or does it come from nowhere, except memory?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
it sucks bc there is so much memorization in math = (
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Yeahhhhh lol >.<
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
just memory bc they give you the formula in class
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Uhhhhhhhhhhhhhhhhhhhhhhhhhh..... Ok here goes >.<\[y =2x 1\]
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
no but good try let's go through it step by step. I admit it's a little challenging with all the sign changes
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
what did you get for the slope?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Where's my Fail Whale when I need it? xD
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
ok that's probably where it went wrong
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
so how did you set it up? which set of points did you put first?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
We have to be fast though. I have to leave for work in 15 minutes o.o
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
I'll be sure of it = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
This is hard. One sec.
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
dw:1359326845829:dw
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
dw:1359326969637:dw
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
I see what you did you put the values in the wrong locations
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Ahhhhhhhhhhhhhhhh! I feel dumb haha! Help me with that please?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
ok you have the points: (1,6) and (3,2) dw:1359327131329:dw
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
that's supposed to be a 2 at the end of that second y (subscript)
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Oops.... Blonde moment? Or just blind? xD
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
dw:1359327213071:dw
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
y1 and x1 are the same set is what that says lol like I said we all have 'em lol
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
what i usually do is when I'm given the two sets of points I label the numbers so I don't get confused later in the problem
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
just as I did here dw:1359327396584:dw
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
I did that too lol
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
Did you rework it out?
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
If you have to leave for work I'll post how to do the full equation and the answer at the end = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
One sec. I wish they'd call in so I could study more for the ASVAB :( I'll try to figure it out real quick
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
lol kk = )
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
yes! = D
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
YES! Ok, let me solve the rest ;D
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
lol kk
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Or try haha! I hope this is right.
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
I'm sure you got it = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
I uh.... I'm doubtful, but here goes o.o y=2x5 _
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
very extremely close which points did you plug in?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
OH! When I brought over the 6, I left it as 6 and didn't switch it to 6
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
y=2x+7 ??????????????????
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
take a deep breath you're using (1,6) right?
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
Yeah I am lol
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
dw:1359328160642:dw
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
\[2x+4=y\]
 one year ago

bettyboop8904 Group TitleBest ResponseYou've already chosen the best response.1
Have a good day at work = )
 one year ago

MasuKasu Group TitleBest ResponseYou've already chosen the best response.1
SORRY! My laptop actually overheated. I was also kind of late to work ^^;
 one year ago
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