A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Write the equation of the line that passes through the point (1,3) and is perpendicular to the line y = 1/2x - 1

  • This Question is Closed
  1. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    can you tell me the slope of this line ? y = 1/2x - 1 ??

  2. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    In y = mx + b form, the slope is in the m position...so the slope of this line is 1/2. Do you understand that ??

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  4. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    but we are looking for a perpendicular slope....and perpendicular slopes have negative reciprocal slopes. All that means is we are going to have to " flip " the slope and change the sign. That is the negative reciprocal. So lets flip the slope and change the sign....1/2....neg reciprocal is -2/1 or just -2. So our perpendicular line needs to have a slope of -2. Do you understand so far ??

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes. With the slope being -2 do you go to find the y-intercept next?

  6. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes... use y = mx + b slope(m) = -2 (1,3)...x = 1 and y = 3 now we basically sub in our info and solve for b....can you do that ?

  7. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    In y = mx + b, the b stands for your y intercept

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    where did you get the (1,3)?

  9. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    those are your points given in your original question.

  10. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do you need help in setting up the equation ?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok & Yes.

  12. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y = mx + b slope(m) = -2 (1,3)...x = 1 and y = 3 now we sub and find b, the y intercept 3 = -2(1) + b 3 = -2 + b 3 + 2 = b 5 = b have I lost you yet ??

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No, i understand what you did there.

  14. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so we know out slope (m) is -2 and our y intercept (b) is 5... so your perpendicular line passing through (1,3) is : y = -2x + 5

  15. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if you have any questions please ask them now :)

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you so much! I actually understand how to do it now? Is it the same working out process with parallel?

  17. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    not quite....parallel lines will have the same slope. So if you were looking for a parallel line .....your slope would be the same as in the original line....your parallel slope would be 1/2....but for perpendicular, you need negative reciprocal slopes...thats when you flip the slope and change the signs.

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok now i get you. You keep the same but still do the sub in stuff to still find b..right?

  19. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yep ^^...thats right :)

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Ok. Thank You! (:

  21. texaschic101
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no problem :)

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.