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""Which of the following equations represents the relationship shown in the table?

x -4 -1 0 2
y -16 -7 -4 2

A) y = -3x + 4
B) y = -x - 4
C) y = 3x - 4
D) y = x + 3

Please select the equation that best represents the relationship between the x and y values in the table.""

1 Answer

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Final answer:

The equation that represents the relationship shown in the table is y = -3x + 4 (option A).

Step-by-step explanation:

The equation that represents the relationship shown in the table is y = -3x + 4, which is option A.

To determine this, we can plug in the values of x and y from the table into each equation and see which one is consistent with all the values. For example, if we use x = -4, we get y = -3*(-4) + 4 = 12 - 4 = -16, which matches the value in the table. We can do the same for the other values and we will see that only option A, y = -3x + 4, is consistent with all the values in the table.

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