The curve y = √x - 3 passes through the point P(28,5). Since Qx, values of x. Q(x, √x – 3) is also a point on the curve, we can find the slope of the secant line PQ for various The slope of the secant line passing through the points P(28,5) and Part a) point (x, √x – 3) " Qis the values of x. Round to five decimal places. At x = 27.5, msec- 0.10051 At x = 27.9, msec- 0.10010 At x = 27.99, msec- 0.10001 At x = 27.999, msec- 0.10000 At x = 28.5, msec- 0.09950 At x = 28.1, msec- 0.09990 At x = 28.01, msec- 0.09999 msec = At x = 28.001, msec= 0.10000 x 3-5 x - 28 use your calculator to find the slope of the secant line PQ for the given Q(x, √x - 3) - 3 is given by At x = 27.999, msec- 0.10000 At x = = 28.5, msec- 0.09950 At x = 28.1, msec- 0.09990 At x = 28.01, msec- 0.09999 At x = 28.001, msec= 0.10000 Part b) Use the results of Part (a) to estimate the slope of the tangent line to the curve at P. If necessary, round to five decimal places. mtan= Part c) Use the slope you found in Part b) to write the equation of the tangent line, y=mx+b, to the curve at the point P. If necessary round the parameters m and b to five decimal places. y= To determine whether your line is actually tangent to the curve at the point P(28, 5), use technology such as your graphing calculator or Desmos to graph y =√x-3 and the equation of your tangent line in the same viewing window. Be sure to adjust the window so that the point P(28, 5) is clearly visible. Video This video explains how determine the slope Submit Question of secant lines to predict the slope of a tangent line. Question Help: