This equation describes a relationship between x and y.y=x–1Complete the table and select the graph that shows this relationship.x y2 3 4 5
Question
This equation describes a relationship between x and y.y=x–1Complete the table and select the graph that shows this relationship.x y2 3 4 5
Solution
The equation given is y = x - 1. This means for every value of x, you subtract 1 to get the corresponding value of y.
Let's fill in the table:
- For x = 2, y = 2 - 1 = 1. So, the pair is (2, 1).
- For x = 3, y = 3 - 1 = 2. So, the pair is (3, 2).
- For x = 4, y = 4 - 1 = 3. So, the pair is (4, 3).
- For x = 5, y = 5 - 1 = 4. So, the pair is (5, 4).
So the completed table is:
| x | y |
|---|---|
| 2 | 1 |
| 3 | 2 |
| 4 | 3 |
| 5 | 4 |
As for the graph, I'm sorry but I can't provide a graph here. However, you can easily plot these points on a graph. The graph will be a straight line that slopes upwards, because for every increase of 1 in x, y also increases by 1.
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