Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Brent0423

  • 2 years ago

Find the equation of the line with x − intercept (4,0) that is perpendicular to the line 3x − 8 y = 5 .

  • This Question is Closed
  1. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    set one of the variables equal to zero then find the other variable and repeat for x and y, then plug it into the equation for a line y=mx+b

  2. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    is this correct? please help me :)

  3. cshalvey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Hey @Brent0423 - so, to find perpendicular lines, you need to remember that the slope of the line is the *inverse* of the original line. So, you should put your original equation into slope intercept format (y=mx+b), and see if you can figure out the next step from there.

  4. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Im confused which original equation?

  5. cshalvey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    Your 3x-8y=5 - You need to put that into the y=mx+b format

  6. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Ok so in y=mx+b Y stands for the y-coord M stands for slope X stands for my x-coord B stands for what???

  7. cshalvey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    B stands for the 'y-intercept' Basically, this is where the line crosses the y-axis (that's the vertical one)

  8. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Please show me what it would be in y=mx+b form

  9. cshalvey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    No problem, so, let's look at your original equation: 3x-8y=5 We want to put Y on its own side of the equation, so subtract 3X from both sides, this gives you: -8y = -3x + 5 Now, I need to divide by (-8) in order to get y on its own, giving you: \[y=3/8 x + -5/8\]

  10. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I got it!! Now what??

  11. cshalvey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    So, what's your slope?

  12. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    3/8. So the negative reciprocal is -8/3

  13. cshalvey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    ^ Awesome!

  14. cshalvey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    K, so now we need to give the full equation of the line. You've already got the slope, now can you figure out how to get b? Use the points they give you and put them all into the slope intercept equation...

  15. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    y-y1=m(x-x1)

  16. Brent0423
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    y-0=-8/3(x-4) y=-8/3x+32/3

  17. cshalvey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 4

    I do believe that's the correct answer - but I'd like to make sure with @Hero first. Good work though @Brent0423 - way to stick in there :)

  18. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.