A line passes through \( (2,9) \) and has a zero slope. Write an equation of the line satisfying the given conditions.

To write an equation of a line with a zero slope, we need to recognize that a line with zero slope is horizontal. Since it passes through the point \( (2, 9) \), this means that no matter what \( x \)-value we have, the \( y \)-value will always be 9. Thus, the equation of the line is simply \( y = 9 \). Now, if you think about it, every horizontal line is parallel to the x-axis and will have the same \( y \)-coordinate everywhere. So no matter if you're at \( (3,9) \) or \( (5,9) \), as long as \( y \) is 9, you've got the same line! And here’s a fun fact: horizontal lines can be found in nature too! Think about the horizon line you see when you look out at the ocean. It stretches infinitely in both directions, just like our line \( y = 9 \) does. Isn’t math just a little bit magical?