Question

The graph of which of the following equations passes through the origin?

• A. $y=2x+c$
• B. $y=2x-c$
• C. $y=2x$

Answer 1

The correct option is C

$y=2x$

The explanation for the correct option :

Any equation which has a form like $y=mx$, where $m$ is the slope of the line, always passes through the origin.

From the given options, it is observed that $y=2x$has form like $y=mx$.

Thus, the line $y=2x$ is passes through the origin.

Hence, the option $C$ is correct.