## Real Examples of Finding the Y-Intercept from a Linear Equation

Finding the y-intercept of a line from a linear equation is easy. Here are some linear equations, which represent lines. We show how to find the y-intercept from the linear equation.- The y-intercept of
**y = 2x + 1**is**1**.

Look at the constant term (the one that does not contain the variables**x**or**y**). This is the y-intercept. - The y-intercept of
**y = −3x + 3**is**3**.

- The y-intercept of
**y = x − 2**is**−2**.

Look at the sign in front of the constant. If it is a**minus sign (−)**the y-intercept must also have a minus sign. The y-intercept is negative; it is below the x-axis. - The y-intercept of
**y = 4x**is**0**.

There is no constant term. The y-intercept is 0.

## Understanding Finding the Y-Intercept from a Linear Equation

A linear equation (in slope-intercept form) is given in the form below: To find the y-intercept, we need to find out where the line represented by this equation crosses the y-axis.Along the y-axis,

**x**has a value of

**0**. This means that if we substitute

**x = 0**into a linear equation and find out what

**y**equals, we will find the y-intercept.

The y-intercept is the constant term (here represented by the letter

**c**, but can be any number).

## More Examples of Finding the Y-Intercept of a Line from Linear Equations

All of the linear equations we have seen in this lesson have been in slope-intercept form (**y = mx + c**). This is the easiest form of linear equation to find the y-intercept. You must be able to find the y-intercept in all forms of linear equation. The method is the same. Substitute

**x = 0**into the linear equation and solve for

**y**. The main difference is it may need more effort to rearrange the equation to solve for y.

- You need to be able to find the y-intercept of a linear equation in general form: finding the y-intercept from a linear equation in general form
- You need to be able to find the y-intercept of a linear equation in slope-point form: finding the y-intercept from a linear equation in slope-point form

## 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:

## Interactive Widget

## You might also like...

linear equationsfinding the y-intercept of a linefinding the equation of a lineunderstanding linear equations in slope-point form

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