Respuesta :

the answer is C y = 1/3x

Answer:

Option C. is the correct option.

Step-by-step explanation:

Equation of line is represented as y = mx + c

where m = slope of the line

c = y - intercept

Since line is passing through origin (0, 0) and a point (6, 2)

Therefore y intercept of the line will be 0.

c = 0

Slope of the line [tex]m=\frac{y-y'}{x-x'}[/tex]

[tex]m=\frac{2-0}{6-0}[/tex]

[tex]m=\frac{2}{3}[/tex]

So the equation will be

[tex]y=\frac{1}{3}x[/tex]

Therefore, option C. is the answer.