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anonymous

  • 4 years ago

how do i find out if these two lines are perpendicular? please show me how to work the problem: -4x+2y=12, x+2y=6

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  1. aroub
    • 4 years ago
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    Do you know how to find the slope ?

  2. anonymous
    • 4 years ago
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    yes

  3. anonymous
    • 4 years ago
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    well maybe not

  4. aroub
    • 4 years ago
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    Okay, great! What are the slopes?

  5. aroub
    • 4 years ago
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    lol

  6. aroub
    • 4 years ago
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    Fine I'll tell you how :)

  7. anonymous
    • 4 years ago
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    i get the y =mx+b? or is there another method that would make this easier?

  8. anonymous
    • 4 years ago
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    thanks

  9. aroub
    • 4 years ago
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    No you got it! y=mx+b where 'm' is the slope and 'b' is the y-intercept.

  10. anonymous
    • 4 years ago
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    ok, then what do i do to the problem? first i get them in the correct format? and then?

  11. aroub
    • 4 years ago
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    I'll do the first one and you do the second one. -4x+2y=12 As you said you return it to the form y=mx+b 2y=4x+12 y=2x+6 And right we said that y=mx+b where 'm' is the slope ? What do we have instead of m here ? 2 right ? For the first one the slope is 2. Get it ?

  12. anonymous
    • 4 years ago
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    yes, the second is y=-1/2x+3, so then what

  13. aroub
    • 4 years ago
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    Yep! What is the slope ?

  14. anonymous
    • 4 years ago
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    -1/2, now how do i know if they are perpendicular?

  15. aroub
    • 4 years ago
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    Correct, you know they are perpendicular when you multiply the slope together you get -1 -1/2*2=-1 So yes they are perpendicular.

  16. anonymous
    • 4 years ago
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    so if they equal -1 when multiplied they are perp? then are they parallel if they slop is similar and the y intercept is different?

  17. aroub
    • 4 years ago
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    Yes! Don't worry about the y-intercept.

  18. anonymous
    • 4 years ago
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    why not worry about the y intercept?

  19. aroub
    • 4 years ago
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    Because you won't use it to know if they are perpendicular or parallel.

  20. anonymous
    • 4 years ago
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    so is a line parallel if it has the same slope always?

  21. aroub
    • 4 years ago
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    Yes!

  22. anonymous
    • 4 years ago
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    oh, thanks

  23. aroub
    • 4 years ago
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    Anytime! =D

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