Question 1139374
slope = average rate of change = (f(b) - f(a)) / (b - a), where b is the upper bound of the interval and a is the lower bound of the interval
:
a = -4, b = 0
:
f(0) = 2 * 0^3 = 0
:
f(-4) = 2 * (-4)^3 = -128
:
average rate of change = (0 - (-128)) / (0 - (-4)) = 32
:
the equation of the secant line through the two points (-4,-128) and (0,0)
:
y = mx +b
:
y = 32x +b
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pick one of the points
:
0 = 32(0) + b
:
b = 0
:
y = 32x is the equation of the secant line
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