Given f(x)=x^3-2, find the equation of the secant line passing through (-4,f(-4)) and (2,f(2))

Given:

The function is

The secant line passing through (-4,f(-4)) and (2,f(2)).

To find:

The equation of the secant line.

Solution:

We have,

At x=-4,

At x=2,

The secant line passes through the points (-4,-66) and (2,6). So, the equation of the secant line is

On further simplification, we get

Therefor, the equation of the secant line is .