Question

Which table represents the same linear relationship as y = 3x - 2?

Answer 1

Table 4 represents the same linear expression as y = 3 x - 2.

Explanation:

Here, the given expression is y = 3 x -2

So now check the any random pair of each table by putting in the given equation.

TABLE 1 : (2,-5)

y = 3x -2 ⇒ -5 = 3(2) -2

or, -5 = -4 , NOT POSSIBLE

TABLE 2 : (0,3)

y = 3x -2 ⇒ 3 = 3(0) -2

or, 3 = -2 , NOT POSSIBLE

TABLE 3 : (1,2)

y = 3x -2 ⇒ 2 = 3(1) -2

or, 2 = 1 , NOT POSSIBLE

TABLE 4 : (1,1)

y = 3x -2 ⇒ 1 = 3(1) -2

or, 1 = 1 , POSSIBLE

checking for (2,4)

4 = 3(2) - 2 ⇒4 = 4 POSSIBLE

Here, table 4 satisfies the given points in the expression y = 3x -2

Hence, it represents the same linear expression .