## Finding Points on a Coordinate Plane

The **coordinate plane** is formed by two intersecting number lines: the horizontal ** x-axis** and the vertical

**. The point where they intersect is called the**

*y*-axis**origin**, and is marked as (0, 0). The numbers that identify a point on a coordinate plane are called an

**ordered pair**, and they always are written in the same order: first is the location along the

*x*-axis, and second is the location along the

*y*-axis.

One way to think about the coordinate plane is to break it up into four parts. The two axes divide the coordinate plane into four **quadrants**:

**Quadrant I** is in the upper right region, where both *x* and *y* values are positive. For example, the point (2, 3) lies in Quadrant I in this coordinate plane:

**Quadrant II** is in the upper left region, where *x* values are negative and *y* values are positive. For example, the point (-3, 4) is in Quadrant II here:

**Quadrant III** contains points with negative *x* and *y* values and is the lower left region. The point (-5, -2) lies in Quadrant III:

**Quadrant IV** contains points with a positive x value but negative y value and is the lower right region. For instance, (4, -6) is in Quadrant IV:

- First identify the x and y values. Let's use the point (-2,5) as an example.
- Look along the x-axis and go left 2 units from the origin.
- Then go up 5 units from the origin along the y-axis.
- Where those values intersect is the point (-2,5):