Answer:
The first coordinate plane has a constant additive rate of change of -1/4
Step-by-step explanation:
Additive rate of change is determined using the slope formula:
It must be applied to all of the coordinates given, as sometimes, answer options will have the right slope for the first few options but then change it later in the list. Remember that this is a <em>constant</em> rate of change; it must be the same throughout all of the coordinates.
The first coordinate plane with (-2, 2) and (2, 1) is
so this is the answer. I encourage you to look below to see why the others are <em>not </em>the answer, as there are some tips throughout the rest of my response.
The second plane is a curved line, and this means that it is a function with some kind of exponent or log (judging by the shape, it is probably a quadratic function). Regardless, it will not have a constant change from point to point because of the curve. This is not the answer for those reasons.
The first table is linear (with a constant slope), so that meets the first requirement. The slope, however, is -1/2, so it is not what we are looking for. This is also not the solution.
The last table has a positive slope of 3.3, so this does not fit what we want from an answer.
Hope this helps :)