Find the rise and run of these two points (-5,2) (-1,0)

Coordinates are written in the form (x,y), where x is the value on the horizontal axis and y is the value on the vertical axis
To figure out the rise and run of two coordinates, we do y2-y1 and x2-x1
Using this information, we can see that the rise of these two points is 0-2= -2, and the run is -1--5= 4
The slope of two points is the rise over the run, so the slope is - 2/4, which can be simplified to - 1/2

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.