The point P(9, -4) lies on the curve y = 4/(8 - x). (a) If Q is the point (x, 4/(8 - x)), use your calculator to find the slope mpo of the secant line PQ (correct to six decimal places) for the following values of x. (i) 8.9 mpQ = (ii) 8.99 mpg = (ii) 8.999 MPQ = (iv) 8.9999 mpQ = (v) 9.1 mpQ = (vi) 9.01 MPQ =| (vii) 9.001 mpQ = (vii) 9.0001 mpQ = (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(9, -4). m = (c) Using the slope from part (b), find an equation of the tangent line to the curve at P(9, -4).

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