## AmberCat21 2 years ago If 2x-2y=6 is parallel to 9y=bx +12, what is b?

1. GCR92

Think about it, what do 2 straight lines need to be pararell?

2. AmberCat21

it's that they don't intersect?

3. GCR92

Yes, they never intersect, and what does it matematically mean?

4. GCR92

they have something in common..

5. GCR92

remember, the slope!

6. GCR92

They have the same slope.

7. AmberCat21

Pls. explain...

8. GCR92

ok

9. GCR92

You have the equation of a line, which is usually given in the general form Ax+By+c=0

10. hba

$Slope=m=\frac{ -coefficient \ of \ x }{ coefficient \ of \ y }$

11. GCR92

in your case, you have it put in a different way, with the y solved, that's what we call the explicit form of the equation of the line

12. GCR92

and so, to calculate the slope DIRECTLY just by seeing the equation, we have a trick

13. GCR92

IF they give you the equation in the general form, Ax+By+c = 0, the slope is -A/B

14. GCR92

Now, if you have it in the explicit form, y=mx+n, what would be the slope in there? try it

15. hba

@AmberCat21 Do you even get a word.

16. GCR92

Tic Tac Tic Tac

17. hba

@GCR92 Always try to simplify it dude. We need to make it look as simpler as possible :P

18. GCR92

Thanks, I know what you mean, but the ammount of concepts that one needs to DOMINATE to really know math is so big that sometimes i just can't explain something in 2 words

19. GCR92

Amber you still alive?

20. hba

Well amber left :P

21. GCR92

should we answer or wait for him to come back @hba

22. hba

Well,giving direct answers or providing the whole solution is not allowed on OS @GCR92 We do not want the answerers to do all the work,we would like the asker to participate in the solution though :)

23. GCR92

@hba got it, thanks, let just see if he comes back.

24. hba

@GCR92 Hmm :)