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DaniSchwarz
Group Title
Given two points on the line, input the equation of the line in standard form Ax + By = C. Reduce all fractional answers to lowest terms.
(7, 3), (4, 8)
 10 months ago
 10 months ago
DaniSchwarz Group Title
Given two points on the line, input the equation of the line in standard form Ax + By = C. Reduce all fractional answers to lowest terms. (7, 3), (4, 8)
 10 months ago
 10 months ago

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myininaya Group TitleBest ResponseYou've already chosen the best response.1
Well we can put into y=mx+b form first then rearrange it to the standard form. So m represents slope and b is the yintercept. Given two points, you can use the slope formula which is (x1x2)/(y1y2)
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
So (74)/(3(8)?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
oops i put my x's on top. (y1y2)/(x1x2)
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
Ok so (3(8)/(74)?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
yes (3(8))/(74) Do the subtraction on top and then do the subtraction on bottom.
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
So 5/3
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
yes that is m, the slope so let's fill in the info we have y=5x/3+b The only thing we don't know now is b, the yintercept. you can use a point on the line (either of the two given to you) to find b. So if we use (7,3) then we will see we have only one know in the following equation 3=5(7)/3+b Solve for b.
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
So 3*3=5(7)/3*3+b = 9=35+b?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Well if you are multiplying both sides by 3 to get rid of that fraction then you can't forget to multiply each term on the right hand side by 3. So you should have 3*3=5(7)/3*3+3*b
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
9=35+3b
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
Ok. So next I need to get 3b on the left side right?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Well you could leave it on the right and do something with that 35 instead but yeah either way really.
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
Okay so 9  35 = 35  35 +3b?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
yep yep
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
Okay so 44 = 3b?
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
And then 44/3 = 3b/3 which equals 14 2/3 =3b?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Yes I would leave it just in the improper form. So we have m=5/3 and b=44/3 This means y=mx+b > y=5x/344/3
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
We should be able to rearrange this into the form you want Ax+By=C
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
So 5x/3+y=44/3?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Did you subtract 5x/3 on both sides? Looks like you subtracted on one side but not the other.
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
So 5x/3+y=44/3?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
Yes. Now get rid of fractional part by multiplying both sides by 3 and you are done.
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
So 5x + y = 44?
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
You need to also multiply that one term by 3.
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
3(5x/3+y=44/3) 3(5x/3+y)=3(44/3) 3(5x/3)+3(y)=3(44/3) 5x + 3y = 44
 10 months ago

DaniSchwarz Group TitleBest ResponseYou've already chosen the best response.1
Ohh! Alright! Thank you!
 10 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
You did good. Good job Dani.
 10 months ago
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