Question

Which of the following tables represent a linear function with the same slope as y = 2 - 3x ?

Select ALL that apply.

(2 points)
Responses

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Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which tables represent a linear function with the same slope as y = 2 - 3x, we need to look for tables where the changes in y (vertical changes) are equal to the changes in x (horizontal changes) multiplied by 3.

Table 1:
x | y
1 | -1
2 | -4
3 | -7
4 | -10

The change in y from x=1 to x=2 is -4 - (-1) = -3. The change in x is 2-1 = 1. -3 is not equal to 3 * 1, so Table 1 does not represent a linear function with the same slope.

Table 2:
x | y
-1 | 5
0 | 2
1 | -1
2 | -4

The change in y from x=-1 to x=0 is 2-5 = -3. The change in x is 0-(-1) = 1. -3 is equal to 3 * (1), so Table 2 represents a linear function with the same slope.

Table 3:
x | y
0 | 1
1 | -2
2 | -5
3 | -8

The change in y from x=0 to x=1 is -2-1 = -3. The change in x is 1-0 = 1. -3 is equal to 3 * (1), so Table 3 represents a linear function with the same slope.

Therefore, the tables that represent a linear function with the same slope as y = 2 - 3x are Table 2 and Table 3.