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The image asks for the slope \( M \) of the line passing through the points \( (4, -1) \) and \( (6, 1) \).

The formula to find the slope \( M \) of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

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

Plugging in the given points \((4, -1)\) and \((6, 1)\):

\[
M = \frac{1 - (-1)}{6 - 4} = \frac{1 + 1}{2} = \frac{2}{2} = 1
\]

So, the slope \( M \) is \( 1 \).

Would you like more details on this solution or have any other questions?

Here are some related questions you might find helpful:

1. How do you find the equation of the line given two points?
2. What does the slope of a line represent geometrically?
3. How do you find the slope if the points have the same x-value?
4. How do you find the y-intercept of a line once you have the slope?
5. Can a line have an undefined slope? If yes, when?

**Tip:** When calculating the slope, carefully subtract the coordinates in the correct order to avoid sign errors.

Find the slope of the line passing through the points (4, -1) and (6, 1).

Learn how to calculate the slope of a line passing through the points (4, -1) and (6, 1). This problem introduces key coordinate geometry concepts and uses the slope formula for a detailed step-by-step solution. Suitable for students in Grades 7-9.

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