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Which set of ordered pairs (x, y) could represent a linear function?

A = {(-2,5), (0, 3), (2, 1), (5,-2)}
B = {(2,9), (4, 5), (5,2), (6,0)}
C = {(-3,-8), (0, -4), (3,-1), (6,2)}
D = {(-2,3), (0, -1), (2,-4), (4,-7)}

User Syed Raza
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Answer:

C = {(-3,-8), (0, -4), (3,-1), (6,2)}

Explanation:

An ordered pair (x, y) represents a linear function if y is a constant multiple of x plus a constant term. In other words, y is equal to mx + b, where m is the slope of the function and b is the y-intercept.

Out of the sets of ordered pairs given, the set that could represent a linear function is:

C = {(-3,-8), (0, -4), (3,-1), (6,2)}

This is because the values of y are equal to a constant multiple of x plus a constant term. For example, y is -1 when x is 3, which can be written as -1 = m(3) + b.

The other sets of ordered pairs do not represent linear functions because the values of y are not equal to a constant multiple of x plus a constant term. For example, in set A, y is 5 when x is -2, which cannot be written as a constant multiple of x plus a constant term.

User Richard H Fung
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