Identify the linear equation.

Responses
A y = x
B y = |x|
C y = x^2
D y = Sqrt x

1 answer

The linear equation among the provided options is:

A) \( y = x \)

A linear equation is one that can be expressed in the standard form \( y = mx + b \), where \( m \) and \( b \) are constants. \( y = x \) fits this definition, with \( m = 1 \) and \( b = 0 \).

The other options represent non-linear equations:

  • B) \( y = |x| \) (absolute value function)
  • C) \( y = x^2 \) (quadratic function)
  • D) \( y = \sqrt{x} \) (square root function)