To understand what you are asking, I'll assume you want to find the distance between the points M(-5, 9) and N(-2, 7). The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a plane can be calculated using the distance formula:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]

Given:
- \(M(-5, 9)\) where \(x_1 = -5\) and \(y_1 = 9\)
- \(N(-2, 7)\) where \(x_2 = -2\) and \(y_2 = 7\)

Plugging these values into the formula:

\[
d = \sqrt{(-2 - (-5))^2 + (7 - 9)^2}
\]

Let's compute this.The distance between points M(-5, 9) and N(-2, 7) is approximately 3.61 units.

Would you like more details on this, or do you have any questions?

Here are 5 related questions you might find interesting:
1. How do you calculate the midpoint between two points?
2. What is the slope of the line passing through points M and N?
3. How do you determine if two points lie on the same vertical or horizontal line?
4. Can you derive the equation of the line passing through points M and N?
5. How do you use the distance formula in three-dimensional space?

**Tip:** For solving geometric problems, always plot the points on a coordinate plane to visualize the scenario better.

Learn how to calculate the distance between points M(-5, 9) and N(-2, 7) using the distance formula. Understand the method with a detailed step-by-step solution and numerical computation. Suitable for students in Grades 7-9.

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