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Finding slope intercept form.

  1. Dec 8, 2012 #1
    1. The problem statement, all variables and given/known data

    find the slope-intercept form for the line satisfying the following conditions
    x intercept 2, y intercept 2/3

    Please let me know if I solved this correctly. Thankyou.

    2. Relevant equations



    3. The attempt at a solution

    2, 0

    0,2/3

    (2/3 -0) / (0 - 2)

    2/3 / -2/1

    2/3 * -1/2

    -2/6 == -1/3

    slope intercept form
    so y = -1/3x + 2/3
     
  2. jcsd
  3. Dec 8, 2012 #2

    LCKurtz

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    That is correct.
     
  4. Dec 9, 2012 #3
    thanks.
     
  5. Dec 9, 2012 #4

    Mentallic

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    Rather than instantly multiplying numerators and denominators together, then cancelling, you should cancel first! The common factor of 2 in the numerator and denominator of 2/3 * -1/2 should be cancelled to leave you with 1/3 * -1/1 = -1/3
     
  6. Dec 9, 2012 #5
    Okay, thanks for the advice, ill definitely keep that in mind. So denominators, and numerators from opposite equations can cancel early for fractions.
     
  7. Dec 9, 2012 #6

    Mentallic

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    Yep!

    It's because we can do things like

    [tex]\frac{a}{c}\cdot\frac{b}{d}=\frac{ab}{cd}=\frac{ba}{cd}=\frac{b}{c}\cdot\frac{a}{d}[/tex]

    Which is why it works.
     
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