This equation describes a relationship between x and y.y=x–3Complete the table and select the graph that shows this relationship.x y3 4 5 6
Question
This equation describes a relationship between x and y.y=x–3Complete the table and select the graph that shows this relationship.x y3 4 5 6
Solution
The given equation is y = x - 3. This means that for any value of x, y will be that value minus 3.
Let's fill in the table:
- When x = 3, y = 3 - 3 = 0. So, the pair is (3, 0).
- When x = 4, y = 4 - 3 = 1. So, the pair is (4, 1).
- When x = 5, y = 5 - 3 = 2. So, the pair is (5, 2).
- When x = 6, y = 6 - 3 = 3. So, the pair is (6, 3).
So, the completed table is:
| x | y |
|---|---|
| 3 | 0 |
| 4 | 1 |
| 5 | 2 |
| 6 | 3 |
As for the graph, it would be a straight line that passes through the points (3, 0), (4, 1), (5, 2), and (6, 3). The line would have a positive slope, indicating that as x increases, y also increases.
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