The point P(4, 27) lies on the curve y=x²+x+7. If Q is the point (x, x² + x + 7), find the slope of the secant line PQ for the

Question

The point P(4, 27) lies on the curve y=x²+x+7. If Q is the point (x, x² + x + 7), find the slope of the secant line PQ for the following values of z.
If z = 4.1, the slope of PQ is:
and if = 4.01, the slope of PQ is:
and if z = 3.9, the slope of PQ is:
and if r = 3.99, the slope of PQ is:
Based on the above results, guess the slope of the tangent line to the curve at P(4, 27).

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