Answer: 
Step-by-step explanation:
For this exercise you can use the following formula for calculate the slope:

In this case you know that the given line passes through the points (-3,0) and (1.4). Therefore you can identify that:

Then, in order to calculate the slope of this line, you must substitute the coordinates of the points into the formula:

Finally, evaluating, you get that the slope of this line is the following:

First, let's factor the equation to make it easier to solve for the intercepts:
f(x) = x² + 12x + 32
f(x) = (x + 8)(x + 4)
To find the x-intercepts of a function, set the y value (f(x)) to 0:
0 = (x + 8)(x + 4)
x = -8, -4
Similarly, to find the y-intercept, set the x values to 0:
f(x) = (0 + 8)(0 + 4)
f(x) = (8)(4)
f(x) = 32
*Note that you can see 32 as the y-intercept in the parabola's original equation
The first step in solving this problem is taking 2 and 3 and multiplying them (2 * 3 = 6) .
Now, for the second step, we will cube it. Since there are 2 numbers, we are going to use the 2nd root (2sqrt(6)) This will give us: 4.89897948557 or 5 if you would round it. This would be the Geometric Mean.
7245000...hope that helps