A vertical intercept is the point on the Cartesian coordinate plane where a line intersects the vertical axis, or y-axis. The vertical intercept of a function can be determined by setting the input, or x value, to zero during evaluation.
A common mathematical example of a vertical intercept is the slope intercept equation of a linear function. y = mx + b is the formula for slope intercept, where m is the slope of the line, b is the vertical intercept, and x and y are the ordered pairs along the line. Because the y variable is isolated on one side of the slope intercept form, it is convenient to employ.