# Graphing Points on a Coordinate Plane

### Linear Equations and Graphing

In this video, step-by-step instructions on how to graph points on a coordinate plane are presented.

## Graphing Points on a Coordinate Plane

#### The diagram below shows the different parts of the coordinate plane. The point where the x-axis and y-axis intersect is called the origin.
Notice that x-values to the right of the y-axis are positive
and x-values to the left of the y-axis are negative.
Similarly, y-values above the x-axis are positive
and y-values below the x-axis are negative

#### An ordered pair of numbers is used to locate any point on the plane.

An ordered pair is enclosed in a pair of parentheses with the first number representing a location on the x-axis, the x-coordinate, and the second number representing a location on the y-axis, the y-coordinate, $(x,y)$. To locate a point on the coordinate plane, do the following:

 1. Start at the origin $(0,0)$. 2. The first number is the x-coordinate. It tells the number of units left (negative) or right of the origin (positive). 3. The second number is the y-coordinate. It tells the number of units above (positive) or below of the origin (negative).

Look at the coordinate grid below.The ordered pair for point A is $(3, -2)$. To locate point A, we move three units to the right and two units down. Also shown on the coordinate plane are points B, C, D, and E.

 $$\begin{array}{|ccc|} \hline \text{point} & (x,y) & \text{Quadrant}\\ \hline \hline A & (3,-2) & IV \\ \hline B & (-8, 5) & II \\ \hline C & (-3, -6) & III\\ \hline D & (0, 5) & \text{on y-axis}\\ \hline E & (-3\frac{1}{2}, 0) & \text{on x-axis}\\ \hline \end{array}$$ #### A little history:

When you graph points on a coordinate plain (also called a Cartesian coordinate system), you are using the work of René Descartes. Descartes (1596 – 1650) was a French mathematician, scientist and philosopher. His work provided the first systematic link between geometry and algebra. 