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

danni2528

Find the slope‐intercept equation of the line with the following properties: Perpendicular to the line x- 4y = 2; containing the point (5,2).

  • one year ago
  • one year ago

  • This Question is Closed
  1. hartnn
    Best Response
    You've already chosen the best response.
    Medals 0

    you have any ideas how to start ?

    • one year ago
  2. ash2326
    Best Response
    You've already chosen the best response.
    Medals 0

    @danni2528 Do you know how to find slope of a line from its equation?

    • one year ago
  3. jazy
    Best Response
    You've already chosen the best response.
    Medals 1

    Slope-Intercept form is: y = mx + b m is slope b is y-intercept ------------------ Change into Slope-Intercept form. x - 4y = 2 Subtract x from both sides. -4y = -x + 2 Divide both sides by -4. y = 1/4x - 0.5 So you know the slope of this line is 1/4. *****The slope of Perpendicular lines is the opposite reciprocal. So the new line will have a slope of -4/1 or -4. ----------------------- So far, we have the slope of the new line (-4) and we have a given point (5, 2). Use Point-Slope formula. \[y - y1 = m(x - x1) \]\[y - 2 = -4(x - 5) \]Change into Slope-Intercept form. \[y - 2 = -4(x - 5) \]Distribute.\[y - 2 = -4x + 20\]Add 2 to both sides.\[y = -4x + 22\]^There is your equation for a line perpendicular to x- 4y = 2.

    • one year 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.