se of center(15,9) point of center (17,6)

To find the slope of the line passing through the points \((15, 9)\) and \((17, 6)\), we use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Here, \((x_1, y_1) = (15, 9)\) and \((x_2, y_2) = (17, 6)\). Plugging in these values:

\[ m = \frac{6 - 9}{17 - 15} \]
\[ m = \frac{-3}{2} \]
\[ m = -\frac{3}{2} \]

Therefore, the slope of the line passing through the points \((15, 9)\) and \((17, 6)\) is \(-\frac{3}{2}\).

Would you like more details or have any questions?

Here are 8 related questions to expand on this topic:

1. What is the equation of the line passing through the points \((15, 9)\) and \((17, 6)\)?
2. How do you find the midpoint of the line segment connecting the points \((15, 9)\) and \((17, 6)\)?
3. How would you determine the distance between the points \((15, 9)\) and \((17, 6)\)?
4. What is the significance of the slope of a line in geometry?
5. Can you find another point on the line with the same slope?
6. How do you graph the line with the slope \(-\frac{3}{2}\) passing through \((15, 9)\)?
7. What would be the slope of a line perpendicular to the line passing through \((15, 9)\) and \((17, 6)\)?
8. How do you calculate the y-intercept of the line given the slope and one point?

**Tip:** Always double-check your calculations to ensure accuracy, especially when dealing with negative signs and fractions.

Learn how to find the slope of a line passing through the points (15, 9) and (17, 6) using the slope formula. This problem explores basic concepts of coordinate geometry and linear equations. Suitable for students in Grades 7-9.

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