Gina represents three linear functions in three different forms as shown which list shows gina's three functions in order from least to greatest rate of change?

function f x = - 2, 1 y = - 5, - 1

function g is y=-x+9

function h is the coordinate plain on the graph.

The graph is not shown, so I cannot include that in the answer. As for the other two, while - 1 is technically a smaller number than 2/3, in terms of rate of change, it makes a steeper line, so it is a larger rate of change. In order from least to greatest (except the graph) we have

f, g

The slope of f is given by

m = (y₂-y₁) / (x₂-x₁) = (-1-1) / (-5--2) = - 2/-3 = 2/3

g is in slope-intercept form, or f (x) = mx+b; the slope is m. In g, this is - 1.