The vertical change from Point A to Point B is 1, the horizontal change is 2, and the rate of change shown on the graph is 0.5, rounded to the nearest tenth.
To find the vertical change (or rise) from Point A to Point B, subtract the y-coordinate of Point A from the y-coordinate of Point B:
Vertical Change = 2 − 1 = 1
To find the horizontal change (or run) from Point A to Point B, subtract the x-coordinate of Point A from the x-coordinate of Point B:
Horizontal Change = 4 − 2 = 2
The rate of change (slope) is given by the ratio of the vertical change to the horizontal change:
Rate of Change = Vertical Change / Horizontal Change
So, in this case, the rate of change is 1/2, which as a decimal rounded to the nearest tenth is 0.5.