This equation describes a relationship between x and y.y=x–2Complete the table and select the graph that shows this relationship.x y2 3 4 5

The equation given is y = x - 2. This means for every value of x, you subtract 2 to get the corresponding value of y.

Let's fill in the table:

1. For x = 2, y = 2 - 2 = 0. So, the pair is (2, 0).
2. For x = 3, y = 3 - 2 = 1. So, the pair is (3, 1).
3. For x = 4, y = 4 - 2 = 2. So, the pair is (4, 2).
4. For x = 5, y = 5 - 2 = 3. So, the pair is (5, 3).

So, the completed table is:

As for the graph, it would be a straight line that passes through the points (2, 0), (3, 1), (4, 2), and (5, 3). The line would have a positive slope and a y-intercept at -2 (from the equation y = x - 2).