The point P(8, 1) lies on the curve

Question

y =

x − 7
.
(a) If Q is the point
(x,

x − 7
),
use your calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values of x.
(i) 7.5



(ii) 7.9



(iii) 7.99



(iv) 7.999



(v) 8.5



(vi) 8.1



(vii) 8.01



(viii) 8.001

Answer 1

If Q is where the slope of PQ is just

f(x)-f(8)
--------------
x-8

Now just plug and chug

Answer 2

the point with coordinates (1+√3,5√3) lies on the curve with the equation 2x^2+px+Q. find values of p