The midpoint $M$ of a line segment with endpoints $R(x_1, y_1)$ and $S(x_2, y_2)$ can be found using the midpoint formula:

$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$

Given:

• $R(2, 9)$
• $S(4, 1)$

Substitute the coordinates of $R$ and $S$ into the formula:

$M = \left( \frac{2 + 4}{2}, \frac{9 + 1}{2} \right)$

Simplify the calculations:

$M = \left( \frac{6}{2}, \frac{10}{2} \right) = (3, 5)$

Thus, the coordinates of the midpoint $M$ are:

$M = (3, 5)$

Do you want details or have any questions?

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Here are 5 related questions:

1. How do you find the distance between two points on a coordinate plane?
2. What is the slope of the line through points $R(2, 9)$ and $S(4, 1)$?
3. Can you explain the geometric meaning of the midpoint?
4. How do you determine the equation of the line passing through points $R$ and $S$?
5. What is the length of the line segment joining points $R$ and $S$?

Tip: The midpoint of a line segment divides it into two equal parts.