Which equation doesn't represent a linear function? a. \: y = (1)/(2)x \: + 2b . \: y = {x}^(2) \\ c . \: y = 2x \\ d. \: y = x - 2

Question

which equation doesn't represent a linear function?
`a. \: y = (1)/(2)x \: + 2`
`b . \: y = {x}^(2) \\ c . \: y = 2x \\ d. \: y = x - 2`

Answer 1

The general equation for linear equation is,

`y=mx+b`

The equation y = x^2, consist of power term on the variable x. So this equation does not follow the linear equation and is a quadratic equation.

Thus, equation y = x^2 is not a linear function. Option B is correct answer.