+53 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).
+1575
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).
Those coordinates draw a square, centered on the origin.
Any straight line through the origin will bisect the square.
Conversely, any line that bisects the square will pass through the origin.
Therefore, the y-intercept is (0, 0)
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