Question

Find equations of the tangent lines to the curve
y= (x-1）/ (x+1) that are parallel to the line
x − 2y = 3.

Answer 1

I got x=0 and x=-2.

Answer 2

hi. are you still there?

Answer 3

yea

Answer 4

sorry, inadvertently pressed the wrong button and then i lost u

Answer 5

oh , ok
I got x= 1/2 x- 1 and 1/2 x + 4
but i dont know if it is right or not

Answer 6

i mean y=*

Answer 7

i am thinking for a sec

Answer 8

so for the derivative you got \[y \prime=\frac{ 2 }{ (x+1)^2 }\]?

Answer 9

yea

Answer 10

..and the slope of the original line is 1/2.

Answer 11

yes

Answer 12

what were your points of tangency for m=1/2?

Answer 13

what were the x values?

Answer 14

x= 0 x=-2

Answer 15

so you set 2/(x+1)^2=1/2 and solved this equation?

Answer 16

yep

Answer 17

and then i plug in the x values into the original equation and get my y values

Answer 18

and then i know x,y, and slope, so i just solved for b

Answer 19

give me a min.

Answer 20

ok thks

Answer 21

x=0,-2 is what i got as well.

Answer 22

wait a sec. those are the y values

Answer 23

the x values are x=-,1

Answer 24

u mean 0 and -2 are y values..?

Answer 25

well, you plugged in x values of -3 and 1 to get them

Answer 26

in the original equation above

Answer 27

I set 2/ (x+1)^2 = 2
then (x+1)^2 = 1
x+1=1 and x+1=-1

Answer 28

no i didnt. my x values are 0 and -2. i didnt plug in anything to get it . i just derived them from the equation

Answer 29

2/(x+1)^2=1/2

Answer 30

oh..opps..

Answer 31

and x= 1 and -3

Answer 32

x-2y=3->x-3=2y

Answer 33

ok, you look like you are headed in the right direction

Answer 34

so the slope we are interested in =1/2

Answer 35

(1,0) and (-3,2)

Answer 36

yes

Answer 37

nice. you are right there

Answer 38

now just plug that puppy into the point slope form and you are done

Answer 39

ok thanks!!! omg, helped me so much..
I dont get math at all..

Answer 40

yes you do
you are very smart. dont think otherwise

Answer 41

you take care. hope i can help you again sometime

Answer 42

ok thx!