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).

ABJeIIy Jul 29, 2024

#1**+1 **

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, meaning that essentially the line y=mx will actually go through the origin of the entire graph.

As seen in the image below.

Thus, the y intercept is essentially just 0.

Thanks! :)

NotThatSmart Jul 29, 2024