A. Draw a picture of the three-dimensional shape that is produced when the circle is rotated about the y axis. B. In two or more complete sentences, describe the three-dimensional shape.

A: Notice that the circle is not in the origin, so as we rotate it, the figure generated will be something like a donut, the shape is called a torus, and the image can be seen below:

B: The torus shape is defined as the shape generated by revolving a circle in a 3-D space about an axis that is coplanar to the circle (so the circle is not centered in the axis, like in our case). Notice that the torus is a surface of revolution, so the shape is "empty" inside.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4