Is that the right answer ?

Yes, that is correct

Step-by-step explanation:

The formula for the slope can be referred to as "rise over run", a fraction where the rise (change in the y direction) is divided by the run (change in the x direction).

We can get the rise and run by choosing two points on the slope and looking for the change in the x and y direction. In this case, let us use the points (-4,0) and (0,-5). The change in the y direction is from 0 to -5, thus the rise will be -5. Likewise, the change change in the x direction is from -4 to 0 and the run will be 4.

Going back to "rise over run", we divide the rise by the run, giving us -5/4

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4