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otakugirl

  • 2 years ago

Select the equations that are parallel and perpendicular to y =1/4x + 7 and that pass through the point (-8, 9). a) parallel: y =1/4x - 11 perpendicular: y = -4x + 23 b) parallel: y = -4x + 11 perpendicular: y =1/4 x - 4 c)parallel: y = 4x - 7 perpendicular: y =1/4x - 7 d)parallel: y =1/4x + 11 perpendicular: y = -4x - 23

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  1. otakugirl
    • 2 years ago
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    help?

  2. aroub
    • 2 years ago
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    Oh my x_x This what I'm going to do, I'll explain to you the first one and you do the rest and I'll check them, deal? :)

  3. otakugirl
    • 2 years ago
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    okay deal :)

  4. aroub
    • 2 years ago
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    Do you know what does parallel and perpendicular mean here?

  5. otakugirl
    • 2 years ago
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    a little bit not so much :/

  6. aroub
    • 2 years ago
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    It's okay, what do you know?

  7. otakugirl
    • 2 years ago
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    okay i know that perpendicular lines intersect at a 90 degree angle and parallel lines dont intersect

  8. aroub
    • 2 years ago
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    Okay, the meaning in here for both is all about the slope. Parallel means that they have the same slope while in perpendicular the slope is the opposite reciprocal of the original slope.

  9. otakugirl
    • 2 years ago
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    ohh okay i got it.

  10. aroub
    • 2 years ago
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    For a) parallel: y =1/4x - 11 ; (-8,9) slope= 1/4 ; x=-8 , y=9 ( I got x and y from (-8,9) ) To solve such problem you will have to use the slope intercept form, which is: y=mx+b, where m is the slope. Now all you got to do is substitute to find b. => 9=1/4(-8)+b 9=-2+b 11=b since we found" b" we can now find the new equation which is parallel to the original equation. How? By using the slope intercept form, again! y=mx+b, you always leave the x and y! Just substitute for m and b. => y=1/4x+11 Got it?

  11. otakugirl
    • 2 years ago
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    yes thank you so much :)

  12. aroub
    • 2 years ago
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    Can you do the perpendicular now? They're the exact same steps but with different slopes of course. Remember the slope of the perpendicular is the opposite reciprocal.

  13. aroub
    • 2 years ago
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    I say -4, agree?

  14. otakugirl
    • 2 years ago
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    yes now i can do it and i agree with -4

  15. aroub
    • 2 years ago
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    Great ^_^

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