Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

starrhunter Group Title

What is the equation of the line that passes through the point (4, 1) and is perpendicular to the line y = –2x + 4?

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. Mertsj Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know point-slope form of the equation of a line?

    • 2 years ago
  2. starrhunter Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no i dont know any algebra im trying to help my sister finish her assignments. shes in the hospital. i dont need anyone to teach me anything i just dont want her to fail. any good answers anyone has is greatly appreciated

    • 2 years ago
  3. Mertsj Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Sorry. It is contrary to the code of conduct to just post answers. Too many kids try to avoid learning that way.

    • 2 years ago
  4. starrhunter Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    could u show me how to work it out then? dont want anyone to get in trouble.

    • 2 years ago
  5. Mertsj Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[y-y _{1}=m(x-x _{1})\]

    • 2 years ago
  6. AsianStudent_01 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    First, determine the slope of the given line. x + 2y = 6 Solve for y to get this in slope-intercept form. Remember to switch signs when you switch sides. 2y = -x + 6 Divide all terms on both sides by 2. y = -0.5 x + 3 So the slope of the given line is the coefficient of x, which is -0.5 = -1/2 The slope of a perpendicular line is the negative reciprocal of that slope, which would be 2. Use the point-slope form to build the equation with the point (4,2) y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. y - 2 = 2(x - 4) This is an equation that satisfies the question. To get this into slope-intercept form, expand, simplify and solve for y. y = 2x - 8 + 2 y = 2x - 6

    • 2 years ago
  7. Mertsj Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    That is point-slope form. The given line has slope -2 so the perpendicular has slope 1/2 replace y1with 1, m with 1/2 and x1 with 4 and simplify. That will be the equation of the desired line.

    • 2 years ago
  8. AsianStudent_01 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yep, take it with a little grain of salt

    • 2 years ago
  9. starrhunter Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    so what do i have to simplify exactly?

    • 2 years ago
  10. Keroro Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1338928449474:dw|

    • 2 years ago
  11. Keroro Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    and make y the subject of the formula

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

    To simplify, distribute the 1/2 and then add 1 to both sides.

    • 2 years ago
  13. starrhunter Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    y = 1/2x- 1??

    • 2 years ago
  14. Mertsj Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Very good!!

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

    I knew you could do it.

    • 2 years ago
    • Attachments:

See more questions >>>

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.