Vertical Line 71D117

1. **State the problem:** Find the equation of the line passing through the point $(3,-4)$ with an undefined slope. 2. **Recall the concept:** A line with an undefined slope is a vertical line. 3. **Formula for vertical line:** The equation of a vertical line passing through $x=a$ is $$x = a$$ 4. **Apply the formula:** Since the line passes through $(3,-4)$, the $x$-coordinate is $3$. 5. **Write the equation:** Therefore, the equation of the line is $$x = 3$$ 6. **Explanation:** Vertical lines have no slope because the change in $x$ is zero, which makes the slope formula $$m = \frac{\Delta y}{\Delta x}$$ undefined. **Final answer:** $$x = 3$$