As the increment between the two points, $,$ decreases, the slope approximation approaches the true slope. Therefore if we make the increment small enough, we can get a good approximation of the slope at that point. However, since the increment size required to get a good approximation varies from function to function and even point to point, this method is often implemented in an indefinite loop where the increment is decreased every iteration until two consecutive approximations of the slope are within a given tolerance.

Find the slope of the following equation at the point specified using the approximation method.