1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Changing standard form to slope intercept form.

  1. Apr 20, 2016 #1
    1. The problem statement, all variables and given/known data
    Write the equation 4x – 7y – 14 = 0 in the form y = mx + b.

    2. Relevant equations
    "Y= mx + b" and "standard form".

    3. The attempt at a solution

    4x – 7y – 14 = 0 (add 14 to both sides of the equation)

    4x – 7y = 14 (subtract 4x from both sides of the equation)

    -7y = -4x + 14 (divide both sides of the equation by -7)

    y = -4x/-7 + 14/-7

    y = 4/7x + (-2)

    so the slope (m) is 4/7 and the initial value (b) is -2

    Is this the correct way to answer this question. thanks for your time to help me :)
  2. jcsd
  3. Apr 20, 2016 #2


    User Avatar
    Homework Helper

    Correct, well done
  4. Apr 20, 2016 #3
    Thank you alot. Now I know I'm doing it the correct way :)
  5. Apr 20, 2016 #4


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    We usually refer to b as the y-intercept rather than the initial value.
  6. Apr 20, 2016 #5


    User Avatar
    Homework Helper
    Gold Member

    At the start you could have saved at least one operation by adding 7y to both sides.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Threads - Changing standard form Date
Estimated Instantaneous Rate Of Change Oct 18, 2016
Changing sign of data (regression) Oct 5, 2016
Change of summation Aug 14, 2016
Changing equation to standard form Sep 6, 2009