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Referring to the figure, find the slope of the line that passes
through the labeled points on the graph.

To find the slope of the line that passes through the points \( A(-5, 3) \) and \( B(7, 3) \), we use the formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Given the points \( A(-5, 3) \) and \( B(7, 3) \), we can identify:

\[
(x_1, y_1) = (-5, 3) \quad \text{and} \quad (x_2, y_2) = (7, 3)
\]

Substituting these into the slope formula:

\[
m = \frac{3 - 3}{7 - (-5)} = \frac{0}{7 + 5} = \frac{0}{12} = 0
\]

Thus, the slope of the line passing through points \( A \) and \( B \) is \( 0 \).

This indicates that the line is horizontal.

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. What is the equation of the line passing through the points \( A(-5, 3) \) and \( B(7, 3) \)?
2. How would the slope change if the points had different y-values?
3. How do you determine the slope of a vertical line?
4. What does a slope of 0 imply about the line's orientation on the graph?
5. Can you find the midpoint of the line segment \( AB \)?

**Tip:** For a horizontal line, the y-coordinates of any two points on the line are equal, leading to a slope of 0.

Referring to the figure, find the slope of the line that passes through the labeled points on the graph.

Learn how to find the slope of a line passing through the points A(-5, 3) and B(7, 3) using the slope formula. This example covers the basic concept of slopes and demonstrates that the slope of a horizontal line is always 0. Suitable for students in Grades 8-10.

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