Question

f(x)=(x−4)/(5x+2).
Find an equation for the tangent line to the graph of f at x=1.
Tangent line: y =

Answer 1

do you know how to find slope of tangent at x=1 ?

Answer 2

ya its 22/49

Answer 3

i should say thats the slope of the normal line

Answer 4

hmm..i assume thats correct.
so you just need 1 point now to get equation of line.
when x=1, y=.. ?
(put x=1, here y=f(x)=(x−4)/(5x+2).)

Answer 5

the point will be (1,f(1)) = (1,(1−4)/(5(1)+2))

Answer 6

u got -3/7

Answer 7

you have slope = 22/49
point = (1,-3/7)
can u find equation of line ?

Answer 8

y=(22/49)x-(22/49)+(3/7)

Answer 9

y=(22/49)x-(22/49)-(3/7)

Answer 10

ya thts what i got

Answer 11

wait why -3/7

Answer 12

ah ok i see what i did my bad

Answer 13

good :)

Answer 14

messed it up in my head sorry and thank you

Answer 15

welcome ^_^