# Slope Field

A slope field is a particular visualization of a linear, first-order differential equation in which the derivative at a given point is represented by a line segment of the corresponding slope.

Slope field is a college-level concept that would be first encountered in a differential equations course. It is an Advanced Placement Calculus AB topic.

### Prerequisites

Ordinary Differential Equation: | An equality involving a function and its derivatives. |

Vector Field: | A vector field is a function that assigns a vector to each point of Euclidean space. Vector fields arise in differential equations and differential geometry. |