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A rectangle in the coordinate plane is shown below.  A line with slope 2 splits this rectangle into two regions with equal area.  What is the y-intercept of this line?

 

The rectangle has coordinates (-1,-1), (-1,1), (1,1), and (1,-1).

 Dec 7, 2024
 #1
avatar+130317 
+1

Note that [BEFA] = [CEFD]

 

The line is y= 2x 

 

Any line of the form y = ax will split the rectangle ( a square) into = areas and will have a y intercept  = 0

 

cool cool cool

 Dec 7, 2024

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