The centroid of a region is the geometric center. For the region shown, the centroid is the point of intersection of the diagonals of the parallelogram. a. Find an equation of the line through the points (-3, -1) and (7, 7). b. Find an equation of the line through the points (0, 5) and (4, 1). c. Find the centroid of the region. 1 2 3 4 5 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 74E
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The centroid of a region is the geometric center. For the region shown, the centroid is the point of intersection of the
diagonals of the parallelogram.
a. Find an equation of the line through the points (-3, -1) and (7, 7).
b. Find an equation of the line through the points (0, 5) and (4, 1).
c. Find the centroid of the region.
1 2 3 4 5 6
Transcribed Image Text:The centroid of a region is the geometric center. For the region shown, the centroid is the point of intersection of the diagonals of the parallelogram. a. Find an equation of the line through the points (-3, -1) and (7, 7). b. Find an equation of the line through the points (0, 5) and (4, 1). c. Find the centroid of the region. 1 2 3 4 5 6
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