



 
Hi Michael, First draw a diagram. Let $P$ be a point on the graph with first coordinate $a$ then its second coordinate is $\large \frac{1}{a}.$ Find the slope of the tangent to $y = \large \frac{1}{x}$ at $P.$ I'm going to call this slope $m.$ Find the equation of the line through $P$ with slope $m.$ Find the coordinates of $Q$ and $R,$ the points where this line crosses the $x$ and $y$ coordinates. Find the area of the right triangle with vertices $Q, R$ and the origin. Penny  


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