Question 1
What does a slope field show for a differential equation of the form $\frac{dy}{dx}=f(x,y)$?
Question 2
In a slope field, what does a line segment with slope $0$ indicate?
Question 3
If a slope field shows the same slope at every point, what kind of differential equation is most likely being represented?
Question 4
What is one main use of a slope field when solving a differential equation?
Question 5
Suppose a differential equation has a slope field and an initial condition $y(2)=3$. What does this initial condition tell you?