# Intercept

Intercepts are the segment lengths of the graphs that cut off the Coordinate Axes. Intercepts are important for sketching the graphs of a functions. The measure and number of x intercepts in a graph also hint at the turning points in the graph. The points where the graphs cut the axes are also often mentioned as intercepts.

The graph of the straight line 4x + 3y = 12 is seen above. You may notice the graphs cuts off x- intercept measuring 3 units and y - intercept measuring 4 units each. The corresponding intercept points (3, 0) and (0, 4) are also marked.

In application models, the intercepts play a significant role. For example, the y intercept of a cost function refers to the fixed cost and the x intercepts of the Marginal cost function refers to optimal output required to minimize the cost.