What is a vertical intercept?

A vertical intercept is the point at which a line intersects the vertical axis on a graph. This point represents the value of the dependent variable when the independent variable is equal to zero. In a standard Cartesian coordinate system, the vertical intercept occurs at the point (0, y) where y is the value of the dependent variable at that particular point.

The vertical intercept is commonly used in algebra and geometry to help describe the relationship between two variables. It is also often used in linear equations to help determine the slope of the line and to find the equation of a line given two points.

In real-life applications, the vertical intercept can represent a starting point or initial value of a function or relationship between two variables. It provides a reference point for analyzing and interpreting the data on a graph.