A coordinate plane can be used to represent a point or series of points. A graph is made up of two perpendicular number lines, called the coordinate axes:

- The
*x*‐axis is the horizontal number line whose values represent the inputs. - The
*y*‐axis is the vertical number line whose values represent the outputs. - Any point plotted on a graph will be represented as (x, y) with the input first and the output second.
- The intersection of these two coordinate axes is called the origin, and its coordinates are always (0, 0).

The coordinate axes break the graph into four sections, called quadrants. These quadrants help with the proper plotting of positive/negative inputs and positive/negative outputs:

All points are represented as (*x*, *y*). This means that the first number should be plotted on the *x*-axis, and the second number should be plotted on the *y*-axis. For example, we can use the following list of coordinates and plot them on a graph: (0, -6), (1,-4), (2,-2), (3,0), (4,2), (5,4)

You can see that the point in the top right is located 5 units to the right and 4 units up; this is point (5, 4). The point in the bottom left is exactly on the line (0 units left or right) and 6 units down; this is point (0, -6).

Now let’s examine a practice problem:

In order to solve this problem, first identify what quadrant point B is in. It is in the upper right quadrant, Quadrant I. This means both coordinates should be positive (+, +). Now you can count the x-coordinate, by counting the spaces: 6 spots to the right. Then you can count the y-coordinate: 4 spots up. Therefore, the coordinates are (6, 4), so the answer is D!

- Draw a coordinate plane and graph the point (2, 3).
- Draw a coordinate plane and graph the point (-5, -6).
- Draw a coordinate plane and graph the points (1, 1) and (-2, -2).
- Draw a coordinate plane and graph the points (7, -4) and (-2, 5).
- Draw a coordinate plane and graph the points (2, 4), (3, 6), and (4, 8).

**Answers to Practice Problems**

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