Find the slope of the line that passes through (6, 4) and (9, 3).

To find the slope of the line that passes through the points \((6, 4)\) and \((9, 3)\), you can use the slope formula:

\[
\text{Slope (m)} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \((x_1, y_1) = (6, 4)\) and \((x_2, y_2) = (9, 3)\). Substituting these values into the formula:

\[
m = \frac{3 - 4}{9 - 6} = \frac{-1}{3}
\]

So, the slope of the line is \(\boxed{-\frac{1}{3}}\).

Would you like further details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the equation of the line passing through the same points?
2. How do you find the y-intercept given the slope and one point?
3. How do you determine if two lines are parallel?
4. What is the slope of a line perpendicular to the line you just calculated?
5. How does the slope of a line affect its steepness?

**Tip:** The slope of a line indicates how much the y-value changes for each unit increase in the x-value. A negative slope means the line is decreasing, while a positive slope means it's increasing.

Learn how to find the slope of a line passing through the points (6, 4) and (9, 3) using the slope formula. This problem covers fundamental concepts in coordinate geometry, including understanding and calculating the slope of a line. Suitable for students in Grades 8-10.

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