Question

Determine which of the lines, if any, are parallel
Line a: 4y + x = 8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
please help

Answer 1

a and b are parallel

Answer 2

Thank you, but do you think you could explain why?

Answer 3

yeah sure: they have the same slope; therefore, the lines will be parallel

Answer 4

oh okay, thank you so much! :)

Answer 5

no problem. so you understand why now?

Answer 6

yeah but can I ask you one more question?

Answer 7

sure

Answer 8

The next one I have is
Line a: 3y-x=6
Line b: 3y=x+18
Line c: 3y-2x=9
I think I just don't know how to get the slope

Answer 9

y=mx+b
have you seen this equation before ?

Answer 10

yeah my math teacher showed me in class

Answer 11

okay so the m next to x is known as the slope

Answer 12

so get your equations into that form and check to see if the m matches for your equations

Answer 13

if the the m for equation 1 is the same as the m for equation 2, then that means both eqn 1 and 2 have the same slope, and if the slopes are the same, the lines will be parallel

Answer 14

make sense?

Answer 15

A little bit

Answer 16

I did some of this is class yesterday but the problems that I was doing were different and now im doing my homework so I was doing problems that were like
The line passes through (-1, 3) and (1,9) and for those problems I used the m thing but then I Got to these problems and now I'm confused...

Answer 17

just remember that m = slope
if two lines have the same m, then those lines will be parallel.
if i could draw with my mouse I would show you, but I can't XD

Answer 18

XD It's okay. Thank you :) But do you know what this is
Line a: 3y-x=6
Line b: 3y=x+18
Line c: 3y-2x=9

Answer 19

line a: 3y-x=6 ---> y=x/3 +6/3 ----> y=x/3 +3
line b: 3y=x+18 -->y=x/3 +18/3 ---> y=x/3 +6
line c: 3y-2x=9 --> y=2x/3+9/3 ---->y=2x/3 +3

which slope match?

Answer 20

a and c?

Answer 21

a and b right? because m= 1/3 for a and b. for c, m=2/3

Answer 22

ohh now I get it

Answer 23

okay good. :)

Answer 24

Thank you :)

Answer 25

no problem :)