math/algebra

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find the slope if it exists, of the line containing the pair of points. (1,3) and (7,-7) I know you have to do it like -7-3/7-7 and then I get -10/6 and then -1.66666666666667 what do i do to simplify it and write as the answer

  • math/algebra -

    then reduce -10/6 to lowest term.

  • math/algebra -

    okay and how do i do that . that is what i was asking?

  • math/algebra -

    look for a common factor of 10 and 6,,
    for example if you have 6/4, 6 and 4 have a common factor of 2, thus you can factor out 2 from both:
    2*3 / 2*2 = 3/2
    like that. try it to -10/6 ~ :)

  • math/algebra -

    i still don't get it

  • math/algebra -

    hmm,, well try this one, what are the factors of 10?

  • math/algebra -

    5?

  • math/algebra -

    5 and..?
    what do you multiply by 5 to get 10?

  • math/algebra -

    right. 5 and 2 are the factors of 10 because
    2 * 5 = 10

    now, what are the factors of 6?

  • math/algebra -

    3 and 2?

  • math/algebra -

    is that right? then what do i do. What is the answer?

  • math/algebra -

    yes! that's right! :)
    now, from the factors of 10 (which is 2 and 5) and factors of 6 (which is 2 and 3), what number is common?

  • math/algebra -

    idk?

  • math/algebra -

    set 1: 2 and 5
    set 2: 2 and 3

    what number is common from both set?

  • math/algebra -

    right~! :)
    now, you can cancel out 2 from both since it is a common factor:
    -10/6 = -(2 * 5)/(2 * 3) = -5/3

    so there,, :)

  • math/algebra -

    so -5/3 is the answer

  • math/algebra -

    you don't actually have to convert it to decimal. improper fraction or mixed number is fine, unless it is stated in the problem that you have to convert it. :)

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