Find the​ slope, if it​ exists, of the line containing the pair of points 

left parenthesis 4 comma 9 right parenthesis(4,9) 

and left parenthesis negative 10 comma 9 right parenthesis .

To find the slope of the line containing the points \((4, 9)\) and \((-10, 9)\), we use the slope formula:

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

Where:
- \((x_1, y_1) = (4, 9)\)
- \((x_2, y_2) = (-10, 9)\)

Substitute the values into the formula:

\[
m = \frac{9 - 9}{-10 - 4} = \frac{0}{-14} = 0
\]

The slope of the line is \(0\). This indicates that the line is **horizontal**.

### Do you want further details or have any questions?
Here are 5 related questions:
1. What does a slope of 0 mean geometrically?
2. How do you find the equation of the line given two points?
3. What is the slope of a vertical line?
4. Can the slope be undefined? If so, when?
5. How do slopes relate to parallel and perpendicular lines?

**Tip:** The slope of a horizontal line is always \(0\), while the slope of a vertical line is undefined.

Find the slope, if it exists, of the line containing the pair of points (4,9) and (-10,9).

Learn how to find the slope of a line passing through the points (4,9) and (-10,9) using the slope formula. This solution covers key concepts in coordinate geometry, explains the formula, and includes a step-by-step breakdown. Suitable for students in Grades 8-10.

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