PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Chapter 10.1, Problem 49E
To determine

Tofind:Themidpoint of the line segment joining the points (−1, 5, −3) and (3, 7, −1) .

Expert Solution & Answer
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Answer to Problem 49E

Themidpoint of the line segment joining the points (−1, 5, −3) and (3, 7, −1) is (1, 6, −2) .

Explanation of Solution

Given information:

The given points are (−1, 5, −3) and (3, 7, −1) .

Calculation:

The midpointof the line segment joining the two points (x1, y1, z1) and (x2, y2, z2) can be calculated by the midpoint formula in space.

  Midpoint=(x1+x22,y1+y22,z1+z22)

Let (x1, y1, z1)=(−1, 5, −3) and (x2, y2, z2)=(3, 7, −1) are the two points.

Substitute the values in the above formula to calculate the midpoint.

  Midpoint=(−1+32, 7+52, −3+(−1)2)=(22, 122, −42)=(1, 6, −2)

Therefore, themidpoint of the line segment joining the points (−1, 5, −3) and (3, 7, −1) is (1, 6, −2) .

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Chapter 10.1, Problem 48E
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Chapter 10.1, Problem 50E

Chapter 10 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

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