Respuesta :

Answer:

y = 2x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate the slope m , using the slope formula

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

let (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, - 6) ← 2 points on the line

substitute these values into the formula for m

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

y = 2x ← equation of line