A square in the coordinate plane has vertices at $(0,0)$, $(1,0)$, $(1,1)$, and $(0,1)$. A line with slope $5$ splits this square into two regions with equal area. What is the $y$-intercept of this line?

TYSM!!! :))

Guest Jul 31, 2021

#1**+1 **

First graph the points to see your square.... a line of any slope must go through the point 1/2 , 1/2 to separate the square into equal areas

y = 5x + b sub in the 1/2 1/2 point

1/2 = 5(1/2) + b

b = -2

Here is a graph:

https://www.desmos.com/calculator/fiksxrruja

ElectricPavlov Jul 31, 2021