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 2 years ago
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)?
 2 years ago
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)?

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bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1First 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?

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1How do I know what numbers to assign to y and x?

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

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1I 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.

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1But 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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1so go ahead and solve for the slope (m) and tell me what you get

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1yes you are correct = )

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Ah! Thank you. I'll try to solve the problem. One minute (:

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1now that is only part of it, there is another equation to arrive to the final equation

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1once you find the slope I can tell you the next part = )

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

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

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1here 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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1your numerator is correct double check your denominator (20) = ?

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Pff... Sorry. I mixed my numbers up >.<

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

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1lol I guess we all make mistakes haha! It's how we learn.

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1correct = ) so that is your "m" or slope

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1And b is the 'base', right?

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1the 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?

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1Ok 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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Sorry. Someone had to use my laptop.

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Ok, I'm going to solve that. One minute (:

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Wait... Do I NEED the parenthesis around the numbers? Or does it not really change anything?

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1It'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

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1This 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.

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1ok 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 = )

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1I 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

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1that 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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Well... that part at least

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359321905435:dw

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1No wait.... Ugh! I think that's wrong actually.

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1lol Yeah, I loved the Illustration haha!

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Trying to rework the problem so I can better understand it...

MasuKasu
 2 years ago
Best 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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1I'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

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1I'm a brunette lmfao

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359322879897:dw

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1this is the way you're used to right?

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1ok here we go lol

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359322994943:dw

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359323398039:dw

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Hopefully 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.

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

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1so 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 = )

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Ohhh so that's what you did +(4), right?

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1Ok so we have: dw:1359323569725:dwdw:1359323806202:dw

MasuKasu
 2 years ago
Best 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?

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Correction: \[y =2x +1\] Sorry

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1lol 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?

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

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

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

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Ok! And you're 50,000,000 times smarter than me haha!

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1ok when you get back I will have the equation already up = )

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Back! I'll figure that out real quick.

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1So, I want to figure out y+mx+b right?

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

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

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1you have to remember those

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1it sucks bc there is so much memorization in math = (

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1just memory bc they give you the formula in class

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

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1what did you get for the slope?

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Where's my Fail Whale when I need it? xD

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1ok that's probably where it went wrong

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1so how did you set it up? which set of points did you put first?

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1We have to be fast though. I have to leave for work in 15 minutes o.o

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1I'll be sure of it = )

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1This is hard. One sec.

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1I see what you did you put the values in the wrong locations

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Ahhhhhhhhhhhhhhhh! I feel dumb haha! Help me with that please?

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

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Oops.... Blonde moment? Or just blind? xD

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359327213071:dw

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1what 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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1just as I did here dw:1359327396584:dw

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1Did you rework it out?

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

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1YES! Ok, let me solve the rest ;D

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1Or try haha! I hope this is right.

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1I'm sure you got it = )

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

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1very extremely close which points did you plug in?

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

MasuKasu
 2 years ago
Best ResponseYou've already chosen the best response.1y=2x+7 ??????????????????

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1take a deep breath you're using (1,6) right?

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1359328160642:dw

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.1Have a good day at work = )

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