The point
P(7,-4)
lies on the curve
y=(4)/(6-x)
(a) If
Q
is the point
(x,(4)/(6-x))
, find the slope of the secant line
PQ
(correct to six decimal places) for the following values of
x
. 0.6 .9
m_(FO)=
◻
✓
Great werel (i) 6.99
m_(10)=
◻
✓
Perfect (ii) 6.999
m_(f0)=◻
(iv) 6.9999
m_(PO)=◻ Good jobt
(v) 7.1
m_(PQ)=
◻
x (vi) 7.01
m_(PO)=◻
x=
(vi) 7.001
m_(PQ)=◻
(vii) 7.0001
m_(pq)=,x
(b) Using the results of part (a), quess the value of the slope of the tangent, line to the curve at
A(7,-4)
.
m=◻ Amaring jobt
(c) Using the slope from part (b), find an equation of the tangent line to the curve at
PC,-4
).
◻
templessive work.