Find the Midpoint of a Segment with Endpoints (-7, -8) and (4, 7)

Math Problem Statement

Find the midpoint of the segment with the endpoints: (-7, -8) and (4, 7).

To find the midpoint of a line segment with given endpoints, we use the midpoint formula:

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

The endpoints provided are $(-7, -8)$ and $(4, 7)$ , where:

Substituting these values into the formula:

= \left( \frac{-3}{2}, \frac{-1}{2} \right) = \left( -1.5, -0.5 \right)$$ Thus, the midpoint of the segment is $$(-1.5, -0.5)$$. Would you like any further details or clarifications? Here are five related questions for further exploration: 1. How do you calculate the distance between two points in a plane? 2. Can the midpoint formula be extended to three-dimensional space? 3. What is the equation of the line that passes through $$(-7, -8)$$ and $$(4, 7)$$? 4. How would you find the slope of the line segment connecting the two points? 5. How does the concept of a midpoint apply in geometry problems involving triangles? **Tip:** The midpoint formula is simply the average of the coordinates of the endpoints.

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Coordinate Geometry
Midpoint Formula

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

Grades 6-9

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