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Write the equation of the function represented by the table below.

Write the equation of the function represented by the table below.-example-1

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Andy, this is the solution to the exercise:

Step 1: Let's take two ordered pairs from the table and calculate the slope, as follows:

(2, 5) and (8, 14)

m = (14 - 5)/(8 - 2)

m = 9/6

m = 3/2 (Simplifying)

Step 2: Let's calculate the y-intercept, this way:

Let's recall that the standard form of equation of a line is:

y = mx + b

Replacing by the values we know:

14 = 3/2 * 8 + b

14 = 12 + b

b = 14 - 12

b = 2 (y-intercept)

Step 3: Now we can write the equation for this function, as follows:

y = 3/2x + 2

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