anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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aroub
  • aroub
Do you know how to find the slope ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
well maybe not

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aroub
  • aroub
Okay, great! What are the slopes?
aroub
  • aroub
lol
aroub
  • aroub
Fine I'll tell you how :)
anonymous
  • anonymous
i get the y =mx+b? or is there another method that would make this easier?
anonymous
  • anonymous
thanks
aroub
  • aroub
No you got it! y=mx+b where 'm' is the slope and 'b' is the y-intercept.
anonymous
  • anonymous
ok, then what do i do to the problem? first i get them in the correct format? and then?
aroub
  • aroub
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 ?
anonymous
  • anonymous
yes, the second is y=-1/2x+3, so then what
aroub
  • aroub
Yep! What is the slope ?
anonymous
  • anonymous
-1/2, now how do i know if they are perpendicular?
aroub
  • aroub
Correct, you know they are perpendicular when you multiply the slope together you get -1 -1/2*2=-1 So yes they are perpendicular.
anonymous
  • anonymous
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?
aroub
  • aroub
Yes! Don't worry about the y-intercept.
anonymous
  • anonymous
why not worry about the y intercept?
aroub
  • aroub
Because you won't use it to know if they are perpendicular or parallel.
anonymous
  • anonymous
so is a line parallel if it has the same slope always?
aroub
  • aroub
Yes!
anonymous
  • anonymous
oh, thanks
aroub
  • aroub
Anytime! =D

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