Consider the function shown in the figure below.

graph of a downward bending S-shaped curve with the endpoints (x0,y0) and (x6,y6), and the more-or-less evenly spaced points (x1,y1)-(x5,y5) between them.

(a) Write an expression involving the values of and marked on the graph that gives the slope of the line joining the endpoints of the graph.
slope =

(b) On a print-out of this problem, draw the tangent line to the curve at the point . How does the slope of this line compare with that of your line in (a)?
slope of this tangent line slope of line from (a)

(c) Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in (b).

You can earn partial credit on this problem.