Question: What is the y intercept of $2x-5y=1$
1. **State the problem:** Find the $y$-intercept of the equation $$2x - 5y = 1$$.
2. **Recall the definition:** The $y$-intercept is the point where the graph crosses the $y$-axis. At this point, $x=0$.
3. **Substitute $x=0$ into the equation:**
$$2(0) - 5y = 1$$
which simplifies to
$$-5y = 1$$.
4. **Solve for $y$:**
$$y = \frac{1}{-5} = -\frac{1}{5}$$.
5. **Conclusion:** The $y$-intercept is at the point $$\left(0, -\frac{1}{5}\right)$$.