Question

Find the equation of the line that passes through (2, -7) and is parallel to the line that passes through (-4, 4) and (-6, 6)

Answer 1

Hi

Answer 2

Hi

Answer 3

Need some help?

Answer 4

Yes, very lol

Answer 5

Alright so what do you have so far?

Answer 6

Just the problem. I'm usually pretty good at math, but I don't get how to do this problem at all.

Answer 7

It's quite alright.. So we need to find the equation for a line parallel to the one that passes through the two points but also has to pass through a specific point correct? So do you know what type of equation we need? I mean slope intercept, standard, or point slope?

Answer 8

It just says equation for the problem, and parallel. Which one do you think would work best for that?

Answer 9

well i would say point slope but if not we could easily change the form when we are done... sooo...

shall we begin? haha

Answer 10

Yes

Answer 11

okay so to start we need to find the equation for the line that passes through, (-4,4) and (-6,6)..

do you know how to do that?

Answer 12

no.

Answer 13

alriight so to do that the easiest would be to use point slope form..
do you know the formula for point slope form?

Answer 14

no lol, im sorry

Answer 15

its quite alright :)

so the formula is:

\[y _{2}-y _{1}=m(x _{2}-x _{1})\]

Answer 16

ok

Answer 17

yes, so if we label our points with the x and y intercepts, we can plug them into the formula...

so we get:
(x1,y1)
( -4, 4 )

and...

(x2,y2)
(-6, 6 )

Answer 18

ok

Answer 19

try plugging them into the equation.. let me know what you get

Answer 20

6 - 4 = m(-6 - -4)

Answer 21

great job :D

but remember the two negatives turn to a positive sooo...

6-4=m(-6+4)

so now we find the slope, or m..

Answer 22

0 = m

Answer 23

or 12 = m

Answer 24

\[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1}}\]

Answer 25

m = 6 - 4 / -6 - 4

Answer 26

close remember the negative turns positive on the bottm so -6+4

Answer 27

ok
m = 6 - 4 / -6+ 4

Answer 28

yes, now simplify :)

Answer 29

m = -1/ -1
m = 1

Answer 30

Ooooo... so close :) nice try..

so we have 6-4=2
and -6+4=-2

so 2/-2 or -1

Answer 31

follow me?

Answer 32

yes

Answer 33

okay so plug that in for m, the equation for the line would be?

Answer 34

6 - 4 = -1(-6 - -4)

Answer 35

-6+4 remember? haha some reason I hear myself like I'm coming off mean or irritating haha

Answer 36

It's ok haha, so 6 - 4 = -1(-6 + 4)

Answer 37

yes so to find the equation of the line that is parallel to this one, we simply take the slope and plug the point into a fresh equation and plug in the point

Answer 38

ok

Answer 39

wait is this a multiple choice question? just wondering

Answer 40

no

Answer 41

alright... so we get y+7=-1(x-2)

Answer 42

and we're DONE!!! :DD yay!!!

Answer 43

so y+7=-1(x-2) is the answer?

Answer 44

yea

Answer 45

ok thank you!

Answer 46

no problem thanks for baring with me haha