Find the slope of the line that passes through (5, 9) and (2, 7).


To find the slope of the line passing through two points, \((x_1, y_1)\) and \((x_2, y_2)\), we use the slope formula:

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

Given the points \((5, 9)\) and \((2, 7)\):

\[
m = \frac{7 - 9}{2 - 5} = \frac{-2}{-3} = \frac{2}{3}
\]

Thus, the slope of the line is \( \frac{2}{3} \).

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. What is the slope of a line that passes through points \((3, 4)\) and \((6, 10)\)?
2. How do you find the equation of the line using a point and slope?
3. What does a zero slope indicate about the line?
4. How does the slope relate to the steepness of a line?
5. What happens to the slope if the points are reversed?

**Tip:** A positive slope indicates that the line rises from left to right, while a negative slope means it falls from left to right.

Find the slope of the line that passes through (5, 9) and (2, 7).

Discover how to calculate the slope of a line that passes through the points (5, 9) and (2, 7). This problem involves key concepts in algebra and coordinate geometry, using the slope formula to find the correct answer. Ideal for students in Grades 7-9.

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