The experimental data in the table below define $y$ as a function of $x$.

 $x$ 0 1 2 3 4 5 $y$ 2.4 1.1 1 1.4 2.2 3.2

a.) Let $P$ be the point $(1, 1.1)$ . Complete the table below by computing the slope of the secant line $PQ$ when $Q$ is the point of the graph with $x$-coordinate $x_1$.

 $x_1$ 0 2 3 4 5 slope

b.) Draw the graph of the function for yourself and estimate the slope of the tangent line at $P$