The equation of the blue line is y = –x + 5.

manipulate the orange line by setting the sliders so its slope, m, remains at 1, but its y-intercept, b, is a value other than 5.

which statement describes the system after the changes?
the lines intersect at the same point as before the changes.
the lines intersect at a different point than before the changes.
the lines do not intersect.
the lines overlap each other.

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.