# y-Intercept

How to find the y-intercept of a linear equation: definition, 1 example, and its solution.

## Definition

The y-intercept is the intersecting point

of the graph and the y-axis.

## Exampley-intercept of 3x + 4y = 12

Solution

Solution (Detail)

To find the y-intercept,

put x = 0

into the linear equation 3x + 4y = 12.

(y-axis is x = 0.)

Then 3⋅0 + 4y = 12.

Solve the equation.

Then y = 3.

So

y = 3

is the y-intercept.

Graph

This is the graph of the linear equation

3x + 4y = 12.

The y-intercept is y = 3.