What is the slope of the line that passes through the points left parenthesis, 5, comma, minus, 6, right parenthesis(5,−6) and left parenthesis, 9, comma, minus, 6, right parenthesis(9,−6)? Write your answer in simplest form.

To find the slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the slope formula:

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

Given the points \((5, -6)\) and \((9, -6)\), we substitute the values into the formula:

\[
\text{slope} = \frac{-6 - (-6)}{9 - 5} = \frac{-6 + 6}{4} = \frac{0}{4} = 0
\]

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

### Explanation:
A slope of zero means the line is horizontal. Since both points have the same \(y\)-coordinate (\(-6\)), the line is perfectly horizontal.

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Do you have any questions or would you like further details? Here are some related questions to deepen understanding:

1. What is the slope of a vertical line?
2. How would you write the equation of a line with a slope of 0?
3. What is the slope of a line that passes through two points with the same \(x\)-coordinates?
4. How do you find the slope of a line from its graph?
5. What is the significance of positive vs negative slopes?

**Tip:** The slope of a horizontal line is always zero, as the \(y\)-coordinates do not change.

What is the slope of the line that passes through the points (5,−6) and (9,−6)? Write your answer in simplest form.

Learn how to calculate the slope of a line passing through the points (5,-6) and (9,-6) using the slope formula. This problem covers key concepts in coordinate geometry and algebra. Suitable for students in Grades 6-8.

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