A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
How do you determine if linear equations are parallel without graphing like
2x + 2y=4
3x +y=3
 2 years ago
How do you determine if linear equations are parallel without graphing like 2x + 2y=4 3x +y=3

This Question is Closed

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.1simplify the equations as much as possible for example 2x + 2y = 4 i can divide all terms by 2 and simplify it to x + y = 2 got that part?

ashleysmith
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah , after you simplify it how do you know if it's parallel or perpendicular

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.1you look at the next equation (note that it has to be simplified as much as possible too) our first equation is x + y = 2 if our second equation is also x+y = c <c is a constant (which means it is any number)..the important thing is the x+y if the left sides of BOTH equations look EXACTLY the same then they are parallel got it?

ashleysmith
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah what if the slope is the same ?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.1when the slopes are the same then they are parallel

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.1to know if it is perpendicular...simplify the equations again...then put it in the form ax + by = c so you can see it better now when the left sides of BOTH equations look the same BUT the only difference is the sign of x, then they are perpendicular

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.1would you like an example?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.1okay... 2x + 2y = 4 3y = 9  3x the first step is to simplify both equations..i divide the first equation by 2 and get x + y = 2 now i divide the second equation by 3 (since it is common to all terms) y = 3  x now the second step is to put in the form ax + by = c the first equation is already in that form so no worries the second equation would then look like x + y = 3 now let us compare (1) x + y = 2 (2) x + y = 3 what can you say?
Ask your own question
Sign UpFind 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.