Question 1208044
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f(x) is linear since it fits the y = mx+b format
m = -4 = slope
b = 1 = y intercept


The slope is the same as the rate of change.
This is because,
slope = rise/run = (change in y)/(change in x)


Therefore the answer to part A is -4.
The "from 2 to 5" portion won't affect the answer. 
The rate of change from p to q will also be -4. 
The slope is the same throughout the line.


The answer to part B is the equation y = -4x+1
The secant line is identical to the original line itself.
It's only when you have curves like parabolas when the secant line is different from the function curve.
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