Below are two different functions, f(x) and g(x). what can be determined about their slopes? f(x)= −1x + 1 the function g(x) going through 0, 3 and 1, 1

The slope of f(x)  is -1   because it is written in the slope-intercept form 
y = mx + c  where m = slope.

the slope of g(x) is calculated from the 2 given points:- 

slope = (3 - 1) / (0 - 1)  = 2 / -1 = -2.

(The slope = difference in y values / corresponding difference in x values).

Are you trying to figure out the volume?