What is the slope of the line that passes through the points left parenthesis, 7, comma, minus, 6, right parenthesis(7,−6) and left parenthesis, 6, comma, minus, 6, right parenthesis(6,−6)? Write your answer in *simplest form*.

To find the slope of the line that passes through the points \((7, -6)\) and \((6, -6)\), we can again use the slope formula:

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

Where:
- \((x_1, y_1) = (7, -6)\)
- \((x_2, y_2) = (6, -6)\)

Substituting these values into the formula:

\[
m = \frac{-6 - (-6)}{6 - 7} = \frac{-6 + 6}{-1} = \frac{0}{-1}
\]

Since the numerator is 0:

\[
m = 0
\]

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

This result tells us that the line is horizontal.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the equation of a horizontal line?
2. How does the slope of a vertical line differ from a horizontal line?
3. What does a zero slope indicate about the relationship between the two points?
4. How can you determine the slope of a line graphically?
5. What happens to the slope if the points are on a vertical line?

**Tip:** A slope of 0 always indicates a horizontal line, where all points on the line have the same \(y\)-coordinate.

Learn how to find the slope of a line passing through points (7, -6) and (6, -6) using the slope formula. This problem covers basic concepts in geometry and coordinate geometry, specifically calculating slopes between two points. Suitable for Grades 6-8.

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