Y-intercept

– Y-intercept
– Y-intercept is where a function intersects the y-axis.
– For linear functions in the form y = a + bx, ‘a’ is the y-coordinate of the y-intercept.
– Functions can have at most one y-intercept due to their definition.
– Some mathematical relationships like circles can have multiple y-intercepts.
– In higher dimensions, y-intercepts can be extended to other coordinate axes.

– Multiple y-intercepts
– Functions associate x-values to at most one y-value.
– Some functions like circles can have more than one y-intercept.
– Linear functions typically have only one y-intercept.
– The y-intercept can be easily found by evaluating the function at x = 0.
– The zeros of a function are the x-coordinates of the x-intercepts.

– x-intercepts
– x-intercepts are points where functions intersect the x-axis.
– These points satisfy y = 0.
– The x-intercepts are the x-coordinates of the zeros of the function.
– Functions may have multiple x-intercepts but at most one y-intercept.
– Locating x-intercepts can be more challenging than finding y-intercepts.

– In higher dimensions
– The concept of intercepts can be extended to 3D space and beyond.
– Other coordinate axes can have intercepts with different names.
– In electrical engineering, the I-intercept can refer to current-voltage characteristics.

– See also
– Regression intercept is related to the concept of intercepts.

– References
– Weisstein, Eric W. y-Intercept. MathWorld–A Wolfram Web Resource.
– Stapel, Elizabeth. x- and y-Intercepts. Purplemath.
– Weisstein, Eric W. Root. MathWorld–A Wolfram Web Resource.
– Retrieved from https://en.wikipedia.org/w/index.php?title=Y-intercept&oldid=1219291793.

Y-intercept (Wikipedia)

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Y-intercept" – news · newspapers · books · scholar · JSTOR (October 2008) (Learn how and when to remove this template message)

In analytic geometry, using the common convention that the horizontal axis represents a variable ${\displaystyle x}$ and the vertical axis represents a variable ${\displaystyle y}$, a ${\displaystyle y}$-intercept or vertical intercept is a point where the graph of a function or relation intersects the ${\displaystyle y}$-axis of the coordinate system. As such, these points satisfy ${\displaystyle x=0}$.