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To determine the slope of the line in the graph, we can use the formula for the slope between two points, which is:

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

In this case, the two points given on the graph are:

- \((0, 0)\) (the origin)
- \((5, -6)\)

Now, applying the slope formula:

\[
m = \frac{-6 - 0}{5 - 0} = \frac{-6}{5}
\]

So, the slope of the line is:

\[
m = -\frac{6}{5}
\]

This is the simplified and proper form of the slope.

Would you like further details, or do you have any questions?

Here are some related questions to explore:
1. How can you interpret the slope of a line in real-world contexts?
2. What is the significance of a negative slope in a graph?
3. How would the slope change if the line passed through different points?
4. Can you find the equation of this line using the slope and one point?
5. How can you use the slope to graph a line without plotting specific points?

**Tip**: The slope represents the rate of change, and a negative slope means that as \(x\) increases, \(y\) decreases.

What is the slope of the line passing through the points (0, 0) and (5, -6)?

Learn how to find the slope of a line passing through the points (0, 0) and (5, -6). This example explains the slope formula and provides step-by-step instructions for calculating the slope, which is -6/5. Ideal for students in Grades 7-9.

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