How to draw the slope field and sketch the particular equation

The video tutorial explores the concept of zero slopes in mathematical equations, particularly focusing on the equation X^2 + Y^2 = 1. It discusses how to identify points with zero slopes and the implications of these points on graph sketching. The tutorial also covers estimating solutions using slope fields, emphasizing that these are approximations rather than exact solutions.

Describe the estimated behavior of the graph as it approaches the horizontal.

What does the term 'slope field' refer to in the context of this discussion?