Question

Which one of the following equation is linear?

• A. $y=8x+3$
• B. $y=2x^2-6x+8$
• C. $y=x+x^{\frac{1}{4}}$
• D. $y=\frac{4}{x}$

Answer 1

The correct option is A $y=8x+3$

$y=8x+3$ is a linear function.
As $y=8x+3$ can be written as $y=8x^1+3x^0$
We know that a function having the exponents of $x$ as $0$ or $1$ is a linear function.
Here, in $y=8x+3$ the exponent of $x$ are $1$ and $0$. Hence, $y=8x+3$ is a linear function.