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 $1$.

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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.