Answer
See answer below.
Work Step by Step
a) The slope field or vector field or direction field are a tool to graphically visualize the solutions to a first-order differential equation. It enables us to visualize the flow of the solution curves of its corresponding first-order differential equation $f(x,y)=\dfrac{dy}{dx}$.
b) The slope field or vector field or direction field enables us to visualize the flow of the solution curves of its corresponding first-order differential equation $f(x,y)=\dfrac{dy}{dx}$. At each point of the solution curve, the curve would attain the slope which would indicate the slope field.
