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DaniSchwarz
 2 years ago
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)
DaniSchwarz
 2 years ago
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)

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myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1Well 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)

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1oops i put my x's on top. (y1y2)/(x1x2)

DaniSchwarz
 2 years ago
Best ResponseYou've already chosen the best response.1Ok so (3(8)/(74)?

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1yes (3(8))/(74) Do the subtraction on top and then do the subtraction on bottom.

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1yes 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.

DaniSchwarz
 2 years ago
Best ResponseYou've already chosen the best response.1So 3*3=5(7)/3*3+b = 9=35+b?

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1Well 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

DaniSchwarz
 2 years ago
Best ResponseYou've already chosen the best response.1Ok. So next I need to get 3b on the left side right?

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

DaniSchwarz
 2 years ago
Best ResponseYou've already chosen the best response.1Okay so 9  35 = 35  35 +3b?

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

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1Yes 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

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

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

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

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1You need to also multiply that one term by 3.

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.13(5x/3+y=44/3) 3(5x/3+y)=3(44/3) 3(5x/3)+3(y)=3(44/3) 5x + 3y = 44

DaniSchwarz
 2 years ago
Best ResponseYou've already chosen the best response.1Ohh! Alright! Thank you!

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.1You did good. Good job Dani.
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