Question

Last question! @jim_thompson5910
What is the slope of a line that passes through the point (−5, 3) and is parallel to a line that passes through (2, 13) and (−4, −11)?

Answer 1

your first task is to find the slope of the line through (2, 13) and (−4, −11

Answer 2

(2, 13) and (−4, −11) *

Answer 3

Hooooww do I do that. I forgot. o.o heh.

Answer 4

that's ok, you use the slope formula

m = (y2-y1)/(x2-x1)

Answer 5

the first point is (x1,y1)

the second point is (x2,y2)

Answer 6

Ohhhhh, that one, okay, one sec.

Answer 7

ok

Answer 8

http://www.sketchtoy.com/48806079

Answer 9

Yes?

Answer 10

hmm not sure what you wrote there

Answer 11

but you should have something like this


m = (y2-y1)/(x2-x1)


m = ( -11- 13)/(-4-2)


m = ???

Answer 12

Yeah, thats what I had written, I just have to do the last part.

Answer 13

i gotcha, so what do you get for the slope

Answer 14

-24/-6

Answer 15

keep going

Answer 16

Simplify it?

Answer 17

yes reduce as much as possible

Answer 18

-12/-3

Answer 19

keep going

Answer 20

I don't think I can simplify any more on the -3, can I?

Answer 21

ignore the negatives for a second

Answer 22

12/3 = ??

Answer 23

4?

Answer 24

so -12/(-3) = 4 as well because the two negatives divide to a positive

Answer 25

this means that the slope of the line through (2, 13) and (−4, −11) is m = 4

Answer 26

any line parallel to this will have an equal slope

Answer 27

Thanks Jim! :)

Answer 28

you're welcome