x y

0 10
1 7
2 4
3 1
4 -2
does this tabel represent a linear function with the same slope as y = 2 - 3x

1 answer

No, this table does not represent a linear function with the same slope as y = 2 - 3x.

In the given table, the change in y does not correspond to a consistent change in x. For example, when x increases by 1 (from 0 to 1), y decreases by 3 (from 10 to 7). However, when x increases by 1 again (from 1 to 2), y decreases by only 3 (from 7 to 4). In a linear function, the change in y should be constant for a given change in x.

Therefore, the table does not represent a linear function with the same slope as y = 2 - 3x.