Answer
Fill the blanks with
$secant$
and
$(a, f(a))$
Work Step by Step
The slope of the secant line through the points on the graph of $f$ where $x=a$
and $x=a+h$ is given by the average rate of change, or difference quotient,
$m_{sec}=$ slope of secant $=$ average rate of change $=\displaystyle \frac{f(a+h)-f(a)}{h}$.
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At x=a, the point on the graph of f is $(a, f(a)),$
Fill the blanks with
$secant$
and
$(a, f(a))$
