Respuesta :

Answer:

y = 3x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 6) ← 2 points on the line

m = [tex]\frac{6-0}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3

y = 3x ← equation of line