1. **State the problem:** Find the y-intercept of the line given by the equation $$-3y - 4x = 15$$. 2. **Recall the y-intercept definition:** The y-intercept is the point where the line crosses the y-axis. At this point, the value of $$x$$ is 0. 3. **Substitute $$x=0$$ into the equation:** $$-3y - 4(0) = 15$$ which simplifies to $$-3y = 15$$. 4. **Solve for $$y$$:** Divide both sides by $$-3$$: $$y = \frac{15}{-3} = -5$$. 5. **Conclusion:** The y-intercept is at the point $$(0, -5)$$. This means the line crosses the y-axis at $$y = -5$$.