Answer:
[tex]\large\boxed{y=\dfrac{4}{3}x}[/tex]
Step-by-step explanation:
The line passes through the origin has an equation y = mx
m - slope
The formula of a slope of a line passes through the origin
and a point (x, y):
[tex]m=\dfrac{y}{x}[/tex]
We have the point (6, 8). Substitute:
[tex]m=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}[/tex]
Finally:
[tex]y=\dfrac{4}{3}x[/tex]
