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].