Find the slope of the line that passes through (4, 9) and (1, 17).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

To find the slope of the line passing through the points \((4, 9)\) and \((1, 17)\), we use the slope formula:

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

Where:
- \((x_1, y_1) = (4, 9)\)
- \((x_2, y_2) = (1, 17)\)

Substitute the coordinates into the formula:

\[
m = \frac{17 - 9}{1 - 4} = \frac{8}{-3} = -\frac{8}{3}
\]

So, the slope of the line is:

\[
m = -\frac{8}{3}
\]

Would you like more details or explanations on this? 

Here are 5 related questions you might find useful:
1. How do you find the equation of the line with the given slope and one point?
2. What is the slope of a line parallel to this one?
3. How do you determine if two lines are perpendicular?
4. What is the y-intercept of the line with this slope passing through (4, 9)?
5. How can you calculate the distance between the points (4, 9) and (1, 17)?

**Tip:** When dealing with slope, remember that a negative slope means the line falls as you move from left to right.

Find the slope of the line that passes through (4, 9) and (1, 17). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Learn how to find the slope of a line passing through the points (4, 9) and (1, 17) using the slope formula. This problem covers key concepts in algebra and coordinate geometry, making it ideal for students in Grades 6-8.

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