Respuesta :

gmany

Answer:

[tex]\large\boxed{y-0=\dfrac{2}{3}(x-0)\to y=\dfrac{2}{3}x}[/tex]

Step-by-step explanation:

The point-slope form of ane equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

(x₁, y₁) - point on a line

We have:

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

y-intercept is for x = 0.

Therefore, if y-intercept = 0, then we have the point (0, 0).

[tex]y-intercept=0\to(0,\ 0)[/tex]

Substitute:

[tex]y-0=\dfrac{2}{3}(x-0)\to y=\dfrac{2}{3}x[/tex]