# 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 -

• 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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