A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year 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)
 one year 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)

This Question is Closed

myininaya
 one year 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)

DaniSchwarz
 one year ago
Best ResponseYou've already chosen the best response.1So (74)/(3(8)?

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

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

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

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

myininaya
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.1Okay so 9  35 = 35  35 +3b?

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

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

myininaya
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.1Ohh! Alright! Thank you!

myininaya
 one year ago
Best ResponseYou've already chosen the best response.1You did good. Good job Dani.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.