What is the slope of the line that passes through the points left parenthesis, 7, comma, minus, 4, right parenthesis(7,−4) and left parenthesis, 11, comma, minus, 4, right parenthesis(11,−4)? Write your answer in *simplest form*.

The slope \( m \) of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is calculated using the formula:

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

Given the points \( (7, -4) \) and \( (11, -4) \):

- \( x_1 = 7 \), \( y_1 = -4 \)
- \( x_2 = 11 \), \( y_2 = -4 \)

Substituting the values into the slope formula:

\[
m = \frac{-4 - (-4)}{11 - 7} = \frac{0}{4} = 0
\]

Thus, the slope of the line is:

\[
\boxed{0}
\]

This means the line is horizontal, and the slope of a horizontal line is always zero.

Would you like further details or have any questions?

Here are five related questions to expand this topic:
1. What is the slope of a vertical line?
2. How does the slope help determine the steepness of a line?
3. How do you find the equation of a line given two points?
4. What is the relationship between parallel lines and their slopes?
5. How do perpendicular lines relate in terms of their slopes?

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

What is the slope of the line that passes through the points (7, -4) and (11, -4)? Write your answer in simplest form.

Learn how to calculate the slope of a line that passes through the points (7, -4) and (11, -4). This problem involves key algebraic concepts such as the slope formula and understanding horizontal lines, making it suitable for students in Grades 6-8.

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