Using Phase planes, how do I find graphically the equilibria and their stability of a logistic growth model??

I'm having trouble understanding the concept of phase portrait which I never learned in my applied differential equations class. The question is asking to study the logistic growth model, $$\frac{dN}{dt}=rN\left(1-\frac{N}{K}\right)-H,$$ for a constant harvesting rate $H$ by using phase planes to find graphically the equilibria and their stability.

I've looked up phase planes in my Diff Eq book but it only talks about using phase planes for a linear system of first order ordinary differential equations, here the equation is a first order nonlinear differential equation. Here $N$ stands for the population, $K$ stands for the carrying capacity of the population, and $r$ is the net growth rate per unit of population.

If you want to do it nicely, you can take the graph of the parable $y=rx(1-x/K)$ and the horizontal lines $y=H$ and mark on each region of those horizontal lines the direction of the vector field. Each of those decorated lines is a phase portrait for its value of $H$.