Slope field
= Slope field
{wiki=Slope_field}
A slope field (or direction field) is a visual representation used in differential equations to illustrate the general behavior of solutions to a first-order differential equation of the form: \\\[ \\frac\{dy\}\{dx\} = f(x, y) \\\] In a slope field, small line segments (or slopes) are drawn at various points (x, y) in the coordinate plane, with each segment having a slope determined by the function \\(f(x, y)\\).