Which table represents a linear function?

Table-1 represents a linear function.

In general, the gradient of the line joining the points A(x₁, y₁) and B(x₂, y₂) is given by the formula:

Let's examine the slope (m) of each table.

Table-1: (1, 3), (2, 7), (3, 11), (4, 15)

(1, 3) and (2, 7) ⇒

(2, 7) and (3, 11) ⇒

(3, 11) and (4, 15) ⇒

or, we choose (1, 3) and (4, 15) ⇒

Because it has the same slope of m = 4, this table represents a linear function.

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Table-2: (1, 3), (2, 8), (3, 15), (4, 21)

(1, 3) and (2, 8) ⇒

(2, 8) and (3, 15) ⇒

Because it does not have the same slope, this table does not represent a linear function.

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Table-3: (1, 3), (2, 9), (3, 3), (4, 9)

(1, 3) and (2, 9) ⇒

(2, 9) and (3, 3) ⇒

Because it does not have the same slope, this table does not represent a linear function.

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Table-4: (1, 3), (2, 9), (3, 27), (4, 81)

(1, 3) and (2, 9) ⇒

(2, 9) and (3, 27) ⇒

Because it does not have the same slope, this table does not represent a linear function.

Based on the pattern shown in Table-4, the curve represents the function of .

Consider the proof below:

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45 degres

step-by-step explanation:

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