The y-intercept is the y-coordinate of the point where a line, curve or surface crosses the y-axis.

finding the y-intercept of a line

A zero y-intercept means the line crosses the y-axis at the origin:

A negative y-intercept means the line crosses the y-axis

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## What Is the Y-Intercept of a Line?

The y-intercept of a line is the y-coordinate of the point where the line crosses the y-axis. The line below crosses the y-axis at**y = 3**. The y-intercept of the line is**3**.finding the y-intercept of a line

## The Y-Axis Crosses the X-Axis When X = 0

The y-axis crosses the x-axis when x = 0. This means that all points on the y-axis have**x = 0**. This is useful, because it let's us find the y-intercept of a line or a curve when we know its equation.**Finding the Y-Intercept of a Line from a Linear Equation**The y-intercept of a line can be found from the equation of a line (called a linear equation). The slope-intercept form of a linear equation is:

In this equation,**y**and**x**are variables.**m**and**c**are letters that stand in for numbers. An example of a linear equation would be**y = 2x + 1**(the**m**= 2 and**c**= 1). The y-intercept occurs when the line crosses the y-axis. On the y-axis,**x = 0**. The y-intercept of this equation is**c**.**Finding the Y-Intercept of a Line from a Function**The linear equation is an example of a function. For any value of**x**, it tells you**y**. We can find the y-intercept of*any*function by substituting**x = 0**. Learn more about finding the y-intercept of a function

## Positive, Zero and Negative Y-Intercepts

A positive y-intercept means the line crosses the y-axis**above**the x-axis:A zero y-intercept means the line crosses the y-axis at the origin:

A negative y-intercept means the line crosses the y-axis

**below**the x-axis:## You might also like...

linear equationsfinding the slope from a linear equationfinding the y-intercept of a linefinding the y-intercept from a linear equation

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