Find the Midpoint of a Line Segment with Endpoints (-9, -4) and (-5, -3)

Math Problem Statement

Find the midpoint of the line segment with the given endpoints (-9, -4) and (-5, -3).

To find the midpoint of a line segment with endpoints $(-9, -4)$ and $(-5, -3)$ , we use the midpoint formula:

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

Substitute the coordinates:

= \left( \frac{-14}{2}, \frac{-7}{2} \right) = (-7, -3.5)$$ So, the midpoint is $$(-7, -3.5)$$. Would you like more details on this, or do you have any further questions? Here are some related questions to expand on this topic: 1. How would the midpoint change if the endpoints were flipped? 2. What is the formula for the distance between two points? 3. Can you find the midpoint of points in three-dimensional space? 4. How do you calculate the slope of the line segment connecting two points? 5. What is the significance of the midpoint in geometry? **Tip:** The midpoint divides a line segment into two equal halves, making it a useful concept in various geometric applications.

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Coordinate Geometry
Midpoint Calculation

Midpoint formula: ( (x1 + x2) / 2, (y1 + y2) / 2 )

Grades 6-8

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