x-Intercept

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

Definition

Definition

The x-intercept is the intersecting point
of the graph and the x-axis.

Example

Example

Solution

The x-intercept is the intersecting point
of the linear equation 3x + 4y = 12 and the x-axis.

And the x-axis is y = 0.

So put y = 0 in the linear equation 3x + 4y = 12.
Then 3x + 4⋅0 = 12.

Then solve the equation.

Then x = 4.

So x = 4 is the x-intercept.

Graph

This is the graph of the linear equation 3x + 4y = 12.

By the above calculation,
you found that the x-intercept is x = 4.