Question

Which of the following does not lie on the graph of y = 2x - 2? (-1/2, -3) (1/2, 1) (-1, -4)

Answer 1

All lie on the line besides B) (1/2, 1)

Answer 2

Answer: The correct option is

(B)
`\left((1)/(2),1\right).`

Step-by-step explanation: We are given to select the point that does not lie on the graph of the following line :

`y=2x-2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

Any point that does not lie on the graph of (i) will not satisfy the equation.

If
`(x, y)=\left(-(1)/(2),-3\right),` then

`R.H.S.=2x-2=2* \left(-(1)/(2)\right)-2=-1-2=-3=y=L.H.S.`

So, this option is NOT correct.

If
`(x, y)=\left((1)/(2),1\right),` then

`R.H.S.=2x-2=2* \left((1)/(2)\right)-2=1-2=-1\\eq y=L.H.S.`

So, this option is correct.

If
`(x, y)=(-1,-4),` then

`R.H.S.=2x-2=2* (-1)-2=-2-2=-4=y=L.H.S.`

So, this option is NOT correct.

Thus, the correct option is (B).