Which table of ordered pairs represents a linear function? x y −6 26 0 3 6 26 12 101 x y −6 −3 0 3 6 1 12 2 x y −6 −3 0 3 6 9 6 3 x y −6 −3 0 2 6 7 12 12

In each table, the x-values differ by 6. A linear function will also have a constant difference of y-values. Only the 4th table has that.

(x, y) = (-6, -3), (0, 2), (6, 7), (12, 12)

An increase in x by 6 produces an increase in y by 5. The slope of this linear function is 5/6. In slope-intercept form, the equation is y = (5/6)x + 2.

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step-by-step explanation:

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