Consider the differential equation dy/dx=2y

(A) At the point (-1.5,1), the direction field has a slope of?
(B) At the point (-0.5,-1), the direction field has a slope of ?
C) Along the x-axis the slope of the direction field is equal to which number or expression?
(D) Along the y-axis the slope of the direction field is equal to which number or expression?

1 answer

A,B: Really? Plug in the coordinates!
C. when y=0, y'=0
D undefined