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A line bisects the area of the square below.  The slope of the line is 3, and its y-intercept is (0,b). Find $b.$

 

The vertices of the square are (-4,-4), (-4,4), (4,4), and (4,-4).

 
 Jan 1, 2025
 #1
avatar+130042 
+1

Any line of the form y = ax  will go through the origin and bisect the area of the square

 

So, b = 0

 

cool cool cool

 Jan 1, 2025

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