Give the equation of the horizontal and vertical lines passing through the point \( \left(-\frac{11}{10}, \frac{10}{11}\right) \) The equation of the horizontal line is: \( y=\frac{10}{11} \) The equation of the vertical line is:

The equation of the vertical line is: \( x=-\frac{11}{10} \). This means anywhere along this line, the x-coordinate will always be \(-\frac{11}{10}\), while the y-coordinate can take any value. So if you're looking to stroll along this line, you will always be in the sweet embrace of that specific x-value! Now, did you know that horizontal and vertical lines are essentially the building blocks of the Cartesian coordinate system? They help us plot points, define shapes, and even create complex graphs in mathematics! Think of them as the ultimate 'straight-laced' lines that never get lost, always sticking to their respective axes. Keep this in mind as you navigate through coordinate geometry!