# Does the equation y = 2x + 1 represent a direct variation and if so, identify the constant of variation?

Jan 23, 2018

$y = 2 x + 1$ is not a direct variation.

#### Explanation:

The graph of direct variation must go through $\left(0 , 0\right)$, so $y = 2 x + 1$ is not a direct variation. It's a vertical shift of direct variation, shifted 1 unit up.

Jan 23, 2018

$\text{not direct variation}$

#### Explanation:

$\text{a direct variation equation is of the form}$

•color(white)(x)y=kxlarrcolor(blue)"k is the constant of variation"

$y = 2 x + 1 \text{ is not in this form}$

$\Rightarrow y = 2 x + 1 \text{ does not represent direct variation}$