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]
