The differential equation dy dx equals the quotient of the quantity y minus 2 and y plus 1 produces a slope field with horizontal tangents at y = 2 produces a slope field with vertical tangents...

Question

The differential equation  

1. produces a slope field with horizontal tangents at y = 2
2. produces a slope field with vertical tangents at y = -1
3. produces a slope field with columns of parallel segments

A	I only
B	II only
C	I and II
D	III only

Answer 1

C

The slopes are constant on every horizontal line and at y=2 the slope is 0 (horizontal tangent) and at y=-1 the slope is unbounded (vertical tangent).