Question

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

Answer 1

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

Explanation:

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

Answer 2

`"not direct variation"`

Explanation:

`"a direct variation equation is of the form"`

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

`y=2x+1" is not in this form"`

`rArry=2x+1" does not represent direct variation"`