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The problem asks for the equation of a line with a slope of 0, passing through the point \( (1, -5) \), in slope-intercept form.

### Step-by-step solution:

1. **Understanding the slope**:  
   A slope of 0 indicates a **horizontal line**. The equation for a horizontal line is always of the form:
   \[
   y = b
   \]
   where \( b \) is the y-coordinate of any point on the line.

2. **Using the given point**:  
   The line passes through \( (1, -5) \). Since the y-coordinate of this point is \( -5 \), the equation of the line is:
   \[
   y = -5
   \]

Thus, the equation of the line in slope-intercept form is:
\[
y = -5
\]

Would you like more details or have any questions?

Here are five related questions:
1. What does it mean if a line has an undefined slope?
2. How can you find the slope of a line given two points?
3. What is the slope-intercept form of a line with a non-zero slope?
4. How would the equation change if the slope were \(1\) instead of \(0\)?
5. Can you derive the equation of a vertical line?

**Tip:** Horizontal lines always have the equation \( y = \text{constant} \), while vertical lines always have the equation \( x = \text{constant} \).

A line has a slope of 0 and passes through the point (1, -5). Write its equation in slope-intercept form.

Learn how to write the equation of a line with a slope of 0 passing through the point (1, -5) in slope-intercept form. This problem covers core algebra concepts like slope and horizontal lines. Suitable for students in Grades 6-8.

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