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From the equation, the y intercept is simply determined by setting x = 0. The x intercept(s) are generally much harder to find: you will need to find the solutions of y = 0 [or f(x) = 0]. From the graph the intercepts are the coordinates of the points at which the graph crosses the axes.


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Q: How do you determine the intercepts from an equation or graph?
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What is the importance of x and y intercepts?

-- If you know the general shape of a graph, and you can quickly determine the x- and y-intercepts, that's often enough information to make a pretty accurate sketch of the graph. -- In particular, if the equation is a linear one, then you know the graph will be a straight line; and then, as soon as you know the x- and y-intercepts, just draw the line between them and you don't need anything else ... that's your graph.


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