A y-intercept is a point where a line or a curve intersects the y-axis on a coordinate plane. In simple terms, it is the point on a graph where the value of x is zero.
The y-intercept is written in the form (0,y), where y is the value of the dependent variable when the independent variable is zero. For example, if a line intersects the y-axis at point (0, 3), it means that the y-value is 3 when the x-value is zero.
Y-intercepts are important in many mathematical applications, including linear equations, functions, and graphs. They provide key information about the behavior of a function or a graph and can be used to solve equations and find critical points.
In addition to linear equations, curves and other non-linear functions can also have y-intercepts, although their location and behavior may be more complex. Some functions may not have a y-intercept at all.
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