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what is the rate of change between 2,0 and-3,-1
y is reduced by 3 units for every increase of 1 in x.
The rate of change for the linear (not liner) function, y = 2x +/- 3 is 2.
Equal means they're the same thing. However, proportional means that they have the same rate of change. For example, a rectangle that is 4x8 is proportional to one that is 12x24 because the rate of change is 3 for both measurements.
Rate of Change = Change in value/Change in time to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2 the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1 this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.