Question

which equation is not a linear function? $y = x + 2$ $y = 2x$ $y = x - 2$ $y = x^2$

Explanation:

Step1: Recall linear function form

A linear function follows the form $y=mx+b$, where $m$ and $b$ are constants, and the highest power of $x$ is 1.

Step2: Analyze each option

• $y=x+2$: Power of $x$ is 1, fits linear form.
• $y=2x$: Power of $x$ is 1, fits linear form.
• $y=x-2$: Power of $x$ is 1, fits linear form.
• $y=x^2$: Power of $x$ is 2, does not fit.

Answer:

$y=x^2$