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Find the midpoint between the coordinate points (1, - 4) and (4, 0).

Find the midpoint between the coordinate points (1, - 4) and (4, 0).

Elementary Geometry For College Students, 7e
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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Question
What is the midpoint between the coordinate points (1,-4) and (4,0)
**Problem:** Find the midpoint between the coordinate points \( (1, -4) \) and \( (4, 0) \). **Solution:** To find the midpoint of two points \((x_1, y_1)\) and \((x_2, y_2)\), use the midpoint formula: \[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Substitute the given points into the formula: \[ \left( \frac{1 + 4}{2}, \frac{-4 + 0}{2} \right) \] Simplify the expression: \[ \left( \frac{5}{2}, \frac{-4}{2} \right) \] \[ \left( 2.5, -2 \right) \] Thus, the midpoint between the points \( (1, -4) \) and \( (4, 0) \) is \( (2.5, -2) \).
Transcribed Image Text:**Problem:** Find the midpoint between the coordinate points \( (1, -4) \) and \( (4, 0) \). **Solution:** To find the midpoint of two points \((x_1, y_1)\) and \((x_2, y_2)\), use the midpoint formula: \[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] Substitute the given points into the formula: \[ \left( \frac{1 + 4}{2}, \frac{-4 + 0}{2} \right) \] Simplify the expression: \[ \left( \frac{5}{2}, \frac{-4}{2} \right) \] \[ \left( 2.5, -2 \right) \] Thus, the midpoint between the points \( (1, -4) \) and \( (4, 0) \) is \( (2.5, -2) \).
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