https://file.aiquickdraw.com/mathbot/file/1728331024597b9ekdkbc.jpg

To calculate the midpoint \( M \) between the two given points \( S(-3, 1) \) and \( T(5, -4) \), we can use the midpoint formula:

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

Substitute the coordinates of points \( S(-3, 1) \) and \( T(5, -4) \):

\[
M = \left( \frac{-3 + 5}{2}, \frac{1 + (-4)}{2} \right)
= \left( \frac{2}{2}, \frac{-3}{2} \right)
= (1, -1.5)
\]

So the midpoint \( M \) is \( (1, -1.5) \), which corresponds to the last option in the given choices.

Would you like more details on any part of this solution?

Here are five related questions you might explore:

1. How is the midpoint formula derived?
2. What is the distance between points \( S(-3, 1) \) and \( T(5, -4) \)?
3. How would you find the slope of the line passing through \( S \) and \( T \)?
4. What is the equation of the line that passes through points \( S \) and \( T \)?
5. How would the midpoint formula change in three dimensions?

**Tip**: Always remember to average both the x-coordinates and y-coordinates separately when finding the midpoint.

Given the endpoints S(-3, 1) and T(5, -4), calculate the midpoint M.

Learn how to calculate the midpoint between two points S(-3,1) and T(5,-4) using the midpoint formula. This step-by-step explanation covers key concepts of coordinate geometry and is suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation