$$2ax-3ay=1$$

In the equation above, $a$ is a nonzero constant. The graph of the equation in the $xy$-plane is a line. What is the slope of the line?

Summary Submit

We want to rearrange the terms so we obtain the form $y=mx+b$, where $m$ is the slope.

$$2ax-3ay=1$$ $$2ax=1+3ay$$ $$2ax-1=3ay$$ $$y= \frac{2ax-1}{3a}$$ $$y=\frac{2ax}{3a}-\frac{1}{3a}$$ $$y=\boxed{\frac{2}{3}}x-\frac{1}{3a}$$