Question

Which of the following does not lie on the graph of y = 2x - 2?

Answer 1

(4,1) that's it i think but i did it good and i got that

Answer 2

`((1)/(2),1)` does not lie on the graph.

Explanation:

Options given by you are
`(-(1)/(2), -3), ((1)/(2), 1)` and (-1, -4)

Equation of the line is y = 2x - 2 and we will plug in the values to check whether these points lie on the line or not.

For (
`(-(1)/(2),-3)`

-3 =
`-(2)/(2)-2`

-3 = -1 - 2

-3 = -3

So this point lies on the line.

For
`((1)/(2),1)`,

1 =
`(2)/(2)-2`

1 = 1- 2

1 = -1

But 1 ≠ -1

Therefore, the point (
`(1)/(2), 1`) lies on the line.

For (-1 , -4)

-4 = 2(-1) - 2

-4 = -2 - 2

-4 = -4

So this point lies on the line.

Therefore,
`((1)/(2),1)` doesn't lie on the graph of the line.