Find the midpoint of AB¯¯¯¯¯
.

A line segment graphed on a coordinate plane with endpoints at A negative 5 comma negative 4 and B negative 3 comma 3.

To find the midpoint of a line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \), you can use the midpoint formula:

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

Given the points \( A(-5, -4) \) and \( B(-3, 3) \), substitute the coordinates into the formula:

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

Simplifying the calculations:

\[
M = \left( \frac{-8}{2}, \frac{-1}{2} \right)
\]

\[
M = (-4, -0.5)
\]

So, the midpoint of \( \overline{AB} \) is \( (-4, -0.5) \).

Would you like more details or have any questions?

Here are some related questions you could explore:

1. How do you find the distance between two points?
2. What is the slope of the line passing through \( A(-5, -4) \) and \( B(-3, 3) \)?
3. How do you determine if two segments are congruent on a coordinate plane?
4. What is the equation of the line passing through points \( A(-5, -4) \) and \( B(-3, 3) \)?
5. How do you find the perpendicular bisector of a line segment?

**Tip:** When finding the midpoint, you are averaging the x-coordinates and y-coordinates of the endpoints.

Find the midpoint of AB¯¯¯¯¯. A line segment graphed on a coordinate plane with endpoints at A(-5, -4) and B(-3, 3).

Learn how to find the midpoint of a line segment with endpoints A(-5, -4) and B(-3, 3) using the midpoint formula. This problem explores key concepts in coordinate geometry and is suitable for students in Grades 6-8.

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