Find the midpoint of the line segment joining the points ​R(4​,3​) and ​S(negative 3​,6​).


To find the midpoint of the line segment joining two points \( R(4, 3) \) and \( S(-3, 6) \), we use the midpoint formula:

\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

Here, \( R(4, 3) \) gives \( x_1 = 4 \) and \( y_1 = 3 \), and \( S(-3, 6) \) gives \( x_2 = -3 \) and \( y_2 = 6 \).

Now, substitute the values:

\[
\text{Midpoint} = \left( \frac{4 + (-3)}{2}, \frac{3 + 6}{2} \right)
\]

Simplify the expression:

\[
\text{Midpoint} = \left( \frac{1}{2}, \frac{9}{2} \right)
\]

Thus, the midpoint of the line segment is:

\[
\left( \frac{1}{2}, \frac{9}{2} \right)
\]

Would you like more details or have any questions? 

Here are 5 related questions to expand on this concept:
1. How do you find the distance between two points in a plane?
2. What is the equation of the line passing through \( R(4, 3) \) and \( S(-3, 6) \)?
3. How do you find the slope of the line segment joining two points?
4. What is the formula for dividing a line segment into a specific ratio?
5. How can the midpoint formula be applied in three dimensions?

**Tip**: Always double-check your signs when using formulas that involve coordinates to avoid simple errors.

Find the midpoint of the line segment joining the points R(4,3) and S(-3,6).

Learn how to find the midpoint of the line segment joining the points R(4,3) and S(-3,6) using the midpoint formula. This problem explores key concepts in coordinate geometry, making it ideal for students in Grades 6-8.

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