# How to find a slope of a line parallel to the graph of each equation y=-2/3x - 1?

You'll agree that two lines are parallel if the have the same slope. But if you write a line's equation in the form $y = m x + q$, then $m$ is exactly the slope of the line. So, in your case, the slope is $- \frac{2}{3}$. So, every other line with slope $- \frac{2}{3}$ is parallel to your line.
In other words, you can change the $q$ coefficient as you like, obtaining (all) infinite other lines parallel to yours.
This make sense, since changing the $q$ coefficient only translates the line upwards or downwards. This is exactly how you obtain parallel lines to a given one: you take it and you shift it a little bit! :)