The point P(4, 0.5) lies on the curve y = 2. If Q is the point (x, 2), find the slope of the secant line PQ for the following values of x. If a = 4.1, the slope of PQ is: and if x = 4.01, the slope of PQ is: and if x = 3.9, the slope of PQ is: and if x = 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, 0.5).The point P(9, 6) lies on the curve y = va + 3. Let Q be the point (x, Vac + 3). a.) Find the slope of the secant line PQ for the following values of x. (Answers here should be correct to at least 6 places after the decimal point.) If x = 9.1, the slope of PQ is: If x = 9.01, the slope of PQ is: If x = 8.9, the slope of PQ is: If x = 8.99, the slope of PQ is: b.) Based on the above results, estimate the slope of the tangent line to the curve at P(9, 6)