The **x-intercept **is the point at which the given graph crosses:

the x-axis at (x, 0).

This is where** y = 0**.

The** y-intercept **is the point at which the given graph crosses:

the y-axis at (0, y).

This is where **x = 0**.

**Example**

Find the x- and y-intercepts of the graph with equation:

y + 2x = 6

**Answer**

We put **y = 0** to get

2x = 6

x = 3

So the x-intercept is **(3, 0)**

We put** x = 0** to get

y = 6

So the y-intercept is **(0, 6)**

This can be checked on a graph as follows: