Does the table represent a linear relationship between x and y? explain.

Question

X: 9 6 3 0 -3 -6

Y: 5 5 5 5 5 5

Answer 1

when do we say it is linear RELATIONSHIP? when x values and y values change in consistent rate/ratio or you have to come out with function with all the values they gave it to you.

Ex 1: x: -6, -3, 0, 3, 6, 9. and y: -6, -3, 0, 3, 6, 9. The function will be y=x.

Ex 2: x: -6, -3, 0, 3, 6, 9. and y: -2, -1, 0, 1, 2, 3. The function will be y=(1/3)x. (In this case, divide all x values by 3, you get all y values).

Ex 1: x: -2, -1, 0, 1, 2, 3 and y: -6, -3, 0, 3, 6, 9. The function will be y=3x. (In this case, multiply all x values by 3, you get all y values).

.....................etc.

Note: you can not come out of function with all the x and y values they gave it to you. If it is not a function, then x and y doesn't have linear RELATIONSHIP.

Trick: If the problems asks, if it is linear, then the answer is YES because all y values are 5.

If the problems asks, if it is linear RELATIONSHIP, then the answer is NO.

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Answer 2

Not exactly. Since y is 5 at all points, the line that describes it is y=5 so x doesn't enter it at any point.