Respuesta :

Answer:

The  line is  [tex]y=\frac{2}{3} x[/tex].

Step-by-step explanation:

Given:

Point and slope (0,0) and 2/3.

Now, to determine the line.

Here the point is:

[tex](x_{1},y_{1}) =(0,0)[/tex]

And the slope is:

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

Now, putting the formula and substituting the value from above to determine the line:

[tex]y-y_{1} = m(x-x_{1})[/tex]

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

[tex]y=\frac{2}{3} x[/tex]

Therefore, the  line is [tex]y=\frac{2}{3} x[/tex].