what is a vertical intercept

A vertical intercept, also known as a y-intercept, is a point where the graph of a function or relation intersects the y-axis of the coordinate system. In other words, it is the point where the function crosses the y-axis. The vertical intercept is the value of y when x equals zero (x=0) in a linear function represented in slope-intercept form, y=mx+b, where m is the slope and b is the vertical intercept. It is also the constant term in the equation. To find the vertical intercept, we can set the input or x equal to zero and determine the function value f(0). The vertical intercept is often used to represent a systems starting point or initial condition before any changes are made.