y-intercept
The point at which the line intersects the y-axis.
The y-intercept is a point where a line or a curve intersects the y-axis of the Cartesian plane or a graph. It is the point where the value of x is zero. The y-intercept is denoted by the coordinates (0,y), where y is the value of the function or equation at x=0.
In simpler terms, the y-intercept is the value of the function or equation when the input variable (x) is zero. It represents the starting value of the function or the point at which the curve or line intersects the y-axis.
One practical application of the y-intercept is in linear functions, which can be written in the form y = mx + b. In this equation, the value of b represents the y-intercept. It tells us the value of y when x is zero, and it also determines the slope (m) of the line.
For example, if the equation of a line is y = 3x + 5, the y-intercept is 5 because when x is zero, y is equal to 5. This means that the line crosses the y-axis at (0,5) and has a slope of 3.
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