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

Apr 11, 2015

Parallel lines have the same slope all the time, only different y-intercept.
Thus, the slope of the line parallel to the graph of $y = - \frac{2}{3} x - 1$ is $m = - \frac{2}{3}$.

Graph of $y = - \frac{2}{3} x - 1$
graph{-2/3x-1 [-10, 10, -5, 5]}

Graph of $y = - \frac{2}{3} x - 2$
graph{-2/3x-2 [-10, 10, -5, 5]}

The slope of both graphs of $y = - \frac{2}{3} - 1$ and $y = - \frac{2}{3} x - 2$ remains at $m = - \frac{2}{3}$.