The point P(5, 0.8) lies on the curve y. If Q is the point (a, 4), find the slope of the secant line PQ for the following values

Question

The point P(5, 0.8) lies on the curve y. If Q is the point (a, 4), find the slope of the secant line PQ for the following values of a.
If a 5.1, the slope of PQ is:
and if a
5.01, the slope of PQ is:
and if a
4.9, the slope of PQ is:
and if a
4.99, the slope of PQ is:
Based on the above results, guess the slope of the tangent line to the curve at P(5, 0.8).

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