Understanding the Y-Intercept | Definition, Calculation, and Importance in Graphing and Functions

Y intercept

The y-intercept is a point on the graph of a function or equation where the line or curve intersects the y-axis

The y-intercept is a point on the graph of a function or equation where the line or curve intersects the y-axis. It is the value of the dependent variable (y) when the independent variable (x) is zero.

In a linear equation in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept, the y-intercept is the value of y when x is zero. It is often denoted as the point (0, b) on the coordinate plane.

For example, consider the equation y = 2x + 3. In this equation, the y-intercept is 3 because when x is zero, the value of y is 3. So, the y-intercept is the point (0, 3) on the graph of this equation.

The y-intercept is an essential concept in graphing, as it helps determine the starting point of a line or curve on the y-axis. It provides information about the initial value or position of a function before any changes are made to the independent variable.

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