To find the equation of a line with a slope of 0 that passes through the point (10, 7), follow these steps:

Step 1: Understand the properties of the line

A slope of $0$ means the line is horizontal. For a horizontal line, the $y$-coordinate of every point on the line is the same.

Step 2: Write the equation

Since the $y$-coordinate of the given point is $7$, the equation of the line is: $y = 7$

Final Answer:

The equation of the line is: $y = 7$

Would you like further details or have any questions about this solution?

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Here are five related questions for you to explore:

1. What is the equation of a line with slope $0$ passing through the point $(3, -2)$?
2. How does the slope affect the orientation of a line (e.g., $0$, undefined, positive, negative)?
3. What is the equation of a vertical line passing through $(10, 7)$?
4. How can you determine if two lines are parallel or perpendicular?
5. What are some applications of horizontal lines in real-world scenarios?

Tip: For a horizontal line, only the $y$-coordinate is fixed, while the $x$-coordinate can take any value.