Answer:
-2
Step-by-step explanation:
The rate of change is the slope.
A slope that goes down to the right is negative. This line has a negative slope.
Now we will find the exact value of the slope.
slope = rise/run
rise = vertical distance (up is positive; down is negative)
run = horizontal distance (right is positive; left is negative)
Start at an easy-to-read point. Let's start at (0, 1) which is the y-intercept.
Now we need to go to another easy-to-read point. Let's use (1, -1) as our second point.
(By easy-to-read points, I mean points on grid line intersections whose coordinates can be read easily off the graph.)
We need to go from (0, 1) to (1, -1) by only moving vertically and horizontally. Start at (0, 1). We go vertically down 2 units and then horizontally right 1 unit to get to (1, -1). Going vertically down 2 units is a rise of -2. Going horizontally right 1 unit is a run of +1.
slope = rise/run = -2/1 = -2
slope = -2
The rate of change is the slope.
Answer: rate of change = -2
