Find the midpoint of the segment with endpoints: (-3,4) and (0,8). O (-1.5, 12) O (-1.5 , 6) O (-6,0) O (3,12)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Finding the Midpoint: Educational Resource**

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

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

Given endpoints: \((-3, 4)\) and \((0, 8)\)

Substitute the given coordinates into the formula:

\[ M = \left( \frac{-3 + 0}{2}, \frac{4 + 8}{2} \right) \]

Calculate each component:

\[ M = \left( \frac{-3}{2}, \frac{12}{2} \right) \]
\[ M = \left( -1.5, 6 \right) \]

Therefore, the midpoint of the segment with endpoints \((-3, 4)\) and \((0, 8)\) is \((-1.5, 6)\).

**Possible Answers:**
- (-1.5, 12)
- (-1.5, 6) ⟸ Correct Answer
- (-6, 0)
- (3, 12)

By selecting \((-1.5, 6)\), you have correctly determined the midpoint of this segment.
Transcribed Image Text:**Finding the Midpoint: Educational Resource** To determine the midpoint of a line segment with given endpoints, we use the midpoint formula: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Given endpoints: \((-3, 4)\) and \((0, 8)\) Substitute the given coordinates into the formula: \[ M = \left( \frac{-3 + 0}{2}, \frac{4 + 8}{2} \right) \] Calculate each component: \[ M = \left( \frac{-3}{2}, \frac{12}{2} \right) \] \[ M = \left( -1.5, 6 \right) \] Therefore, the midpoint of the segment with endpoints \((-3, 4)\) and \((0, 8)\) is \((-1.5, 6)\). **Possible Answers:** - (-1.5, 12) - (-1.5, 6) ⟸ Correct Answer - (-6, 0) - (3, 12) By selecting \((-1.5, 6)\), you have correctly determined the midpoint of this segment.
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