A rectangle in the coordinate plane is shown below. A line with slope $\frac{1}{3}$ 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).

 Feb 26, 2024

The rectangle with these coordinates is centered at the origin, with side length 2. Note that any equation y = mx will bisect the area of the square, so the y-intercept is 0. (Try drawing it on graph paper too) smiley

 Feb 27, 2024

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