Answer:
[tex]y=\frac{1}{9}x[/tex]
Step-by-step explanation:
We are given that the lines passes trough the points (-9, -1) and (0,0).
(0,0) is the origin.
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{0-(-1)}{0-(-9)} =\boxed{\frac{1}{9}}[/tex]
The slope is one-ninth.
Since the lines passes at the origin, it's y-intercept is 'zero'. We do not write zeros in slope-intercept equations, to the equation of the line should be:
[tex]y=\frac{1}{9}x[/tex]