The point $P( 0.25 , 8 )$ lies on the curve $y = 2 / x$ . Let $Q$ be the point $(x, 2 / x ) .$

a.) Find the slope of the secant line $PQ$ for the following values of $x$.

If $x= 0.35$, the slope of $PQ$ is:
If $x= 0.26$, the slope of $PQ$ is:
If $x= 0.15$, the slope of $PQ$ is:
If $x= 0.24$, the slope of $PQ$ is:

b.) Based on the above results, guess the slope of the tangent line to the curve at $P(0.25 , 8 )$.

Answer: