### Learning Outcomes

- Identify points on a graph

In algebra, being able to identify the coordinates of a point shown on a graph is just as important as being able to plot points. To identify the *x*-coordinate of a point on a graph, read the number on the *x*-axis directly above or below the point. To identify the *y*-coordinate of a point, read the number on the *y*-axis directly to the left or right of the point. Remember, to write the ordered pair using the correct order [latex]\left(x,y\right)[/latex].

Consider the point below.

To identify the location of this point, start at the origin [latex](0, 0)[/latex] and move right along the *x-*axis until you are under the point. Look at the label on the *x-*axis. The [latex]4[/latex] indicates that, from the origin, you have traveled four units to the right along the *x*-axis. This is the *x-*coordinate, the first number in the ordered pair.

From [latex]4[/latex] on the *x-*axis move up to the point and notice the number with which it aligns on the *y-*axis. The [latex]3[/latex] indicates that, after leaving the *x*-axis, you traveled [latex]3[/latex] units up in the vertical direction, the direction of the *y*-axis. This number is the *y-*coordinate, the second number in the ordered pair. With an *x-*coordinate of [latex]4[/latex] and a *y-*coordinate of [latex]3[/latex], you have the ordered pair [latex](4, 3)[/latex].

Let’s look at another example.

### Example

Describe the point shown as an ordered pair.

## Describe the point shown as an ordered pair

### example

Name the ordered pair of each point shown:

Solution

Point A is above [latex]-3[/latex] on the [latex]x\text{-axis}[/latex], so the [latex]x\text{-coordinate}[/latex] of the point is [latex]-3[/latex]. The point is to the left of [latex]3[/latex] on the [latex]y\text{-axis}[/latex], so the [latex]y\text{-coordinate}[/latex] of the point is [latex]3[/latex]. The coordinates of the point are [latex]\left(-3,3\right)[/latex].

Point B is below [latex]-1[/latex] on the [latex]x\text{-axis}[/latex], so the [latex]x\text{-coordinate}[/latex] of the point is [latex]-1[/latex]. The point is to the left of [latex]-3[/latex] on the [latex]y\text{-axis}[/latex], so the [latex]y\text{-coordinate}[/latex] of the point is [latex]-3[/latex]. The coordinates of the point are [latex]\left(-1,-3\right)[/latex].

Point C is above [latex]2[/latex] on the [latex]x\text{-axis}[/latex], so the [latex]x\text{-coordinate}[/latex] of the point is [latex]2[/latex]. The point is to the right of [latex]4[/latex] on the [latex]y\text{-axis}[/latex], so the [latex]y\text{-coordinate}[/latex] of the point is [latex]4[/latex]. The coordinates of the point are [latex]\left(2,4\right)[/latex].

Point D is below [latex]4[/latex] on the [latex]x-\text{axis}[/latex], so the [latex]x\text{-coordinate}[/latex] of the point is [latex]4[/latex]. The point is to the right of [latex]-4[/latex] on the [latex]y\text{-axis}[/latex], so the [latex]y\text{-coordinate}[/latex] of the point is [latex]-4[/latex]. The coordinates of the point are [latex]\left(4,-4\right)[/latex].

### try it

### example

Name the ordered pair of each point shown:

### try it

Watch the following video for another example of how to determine the ordered pair for points on the coordinate plane.