The vertical intercept, also known as the y-intercept, is a point where a line, curve, or surface intersects the vertical or y-axis on a Cartesian coordinate system. It is the point at which a line, curve, or surface intersects the vertical or y-axis on a Cartesian coordinate system. In a two-dimensional graph representing a linear function, such as y = mx + b (where m is the slope and b is the y-intercept), the vertical intercept is the value of y when x equals zero (x = 0) . This value is denoted by the constant term ‘b.’ Therefore, in this case, the vertical intercept provides the starting value of the function when the independent variable (x) has not yet influenced the outcome.

To find the vertical intercept of a function, we need to evaluate the function at x=0. For example, if we have a function f(x) = 2x + 3, the vertical intercept is the point (0,3) .