Answers:
- Vertical change = 1
- Horizontal change = 2
- Rate of change = 0.5
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Step-by-step explanation:
Imagine that we have point A as a buoy in the water. So the horizontal line through 1 on the y axis is the water line. How much should the water line go up so that points A and B are on the same horizontal level? That would be 1 unit up. This is the vertical change. Another term for this is "rise".
After the water goes up, and A and B are on the same level, the question is now: how far to the right do we go from A to B? That would be 2 units. This is the horizontal change. Another term for this is "run".
Using those two values, we can compute the rate of change aka slope.
slope = rise/run = 1/2 = 0.5
So each time we go up 1 (rise) we move to the right 2 (run).
The slope is positive since we're moving uphill while moving to the right.