What is the slope of the line that passes through the points left parenthesis, minus, 4, comma, minus, 6, right parenthesis(−4,−6) and left parenthesis, 1, comma, minus, 6, right parenthesis(1,−6)? Write your answer in simplest form.

To find the slope of the line that passes through the points \((-4, -6)\) and \( (1, -6)\), you can use the slope formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \((x_1, y_1) = (-4, -6)\) and \((x_2, y_2) = (1, -6)\). Plugging in these values:

\[
\text{slope} = \frac{-6 - (-6)}{1 - (-4)} = \frac{-6 + 6}{1 + 4} = \frac{0}{5} = 0
\]

So, the slope of the line is \(0\).

### Summary
- The slope is \(0\), indicating that the line is horizontal.

Would you like more details or have any questions? 

Here are some related questions:
1. What does a slope of 0 indicate about a line?
2. How do you find the slope of a vertical line?
3. Can a line have an undefined slope? If so, when?
4. How does the distance between two points affect the slope of the line passing through them?
5. What is the slope-intercept form of a line with a slope of 0?

**Tip:** A slope of 0 means the line is perfectly horizontal, and all points on the line have the same y-coordinate.

What is the slope of the line that passes through the points (-4, -6) and (1, -6)? Write your answer in simplest form.

Discover how to calculate the slope of a line that passes through the points (-4, -6) and (1, -6) with this step-by-step guide. This problem involves key concepts in Algebra and Coordinate Geometry, specifically the slope of a line formula. Perfect for students in Grades 6-8.

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