Chapter 11: Q. 27 (page 616)

Find the midpoint of the segment with the given endpoints.
$(2, 6), (- 10, - 2)$

Short Answer

Expert verified

The midpoint of the segment with the endpoints $(2, 6), (- 10, - 2)$ is $(- 4, 2)$ .

Step by step solution

Step 1. Given Information.

The given endpoints are $(2, 6), (- 10, - 2)$

Step 2. Formula used.

The midpoint of the segment with the endpoints $(x_{1}, y_{1}), (x_{2}, y_{2})$ is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

Step 3. Calculation.

To find midpoint of the segment, substitute $(x_{1}, y_{1}) = (2, 6)$ and $(x_{2}, y_{2}) = (- 10, - 2)$ into the midpoint formula then simplify it.

$\begin{array}{l} (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) = (\frac{2 - 10}{2}, \frac{6 - 2}{2}) \\ (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) = (- 4, 2) \end{array}$

Step 4. Conclusion.

The midpoint of the segment with the endpoints $(2, 6), (- 10, - 2)$ is $(- 4, 2)$

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Find the midpoint of the segment with the given endpoints.
$(2, 6), (- 10, - 2)$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

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Find the midpoint of the segment with the given endpoints.2, 6, −10, −2

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Find the midpoint of the segment with the given endpoints.
$(2, 6), (- 10, - 2)$