y-intercept
Sign in to saveAlso known as vertical intercept
thumb|300px|Graph y=f(x) with the x-axis as the horizontal axis and the y-axis as the vertical axis. The y-intercept of f(x) is indicated by the red dot at (x=0, y=1). In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.
~2 min read
Article
6 sectionsContents
- Using equations
- Multiple <math>y</math>-intercepts
- <math>x</math>-intercepts
- In higher dimensions
- See also
- References
thumb|300px|Graph y=f(x) with the x-axis as the horizontal axis and the y-axis as the vertical axis. The y-intercept of f(x) is indicated by the red dot at (x=0, y=1). In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
==Using equations== If the curve in question is given as y = f(x), the y-coordinate of the y-intercept is found by calculating f(0). Functions which are undefined at x = 0 have no y-intercept.