Three of the four vertices of a rectangle are (5,11), (16,11), and (16,-2). A line of the form y = 2x + b splits it in half. What is b?
The other vertice of the rectangle is 5 -2
to split the rectangle in half, the line must go through the center 10.5 , 4.5
sub in the given point
4.5 = 2 (10.5) + b
b = -16.5