Which table represents a linear Function?

Answer:- A linear equation refers to the equation where each term has at max one degree. The table that characterizes a linear function is Table 1. Consequently, the correct option is A.  Linear equation with two variables, when graphed on a cartesian flat with axes of those variables, provide a straight line.

For the table to characterize a linear function, the function must have a constant slope between any two points. For the first table, the slope flanked by the first two points is,

m = (7-3)/ (2-1) = 4

The slope between the last two points is,

m = (15-11)/ (4-3)

Henceforth, the table that characterizes a linear function is Table 1. Therefore, the correct option is A.


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