Learning Objectives:

__Math Tutoring on Graphing Linear Equations Using a Table of Values__

To **graph or plot** points we use two perpendicular number lines called **Axes. The Horizontal **number line is called the** x-axis, **and we** have** the positive **x** values on the right and the negative **x** values on the left. The **Vertical** number line is called the **y-axis**, and the positive **y** values above the **x-axis** and the negative **y **values are below the **x-axis. **The point at which the **axes** cross is called the **Origin**, and every point on the coordinate plane is identified by what's called an **Ordered Pair**.

Following are the steps outlined here for **graphing linear equations** by plotting points.

**Step one:** we choose two or more values for the input variable, normally **x**, and list them in a table of values.

We only need two points to **graph** a line, but the third point will serve as a check, so we'll always select three values for the input variable **x.** In general, it's always good to select zero, as well as a negative value, and a positive value.

**Step two:** we substitute each **input value**, or **x** value, into the equation, and compute the corresponding **output values**, or corresponding **y **values. Then, we list these values in the table.

**Step three:** write each **input-output pair **on the table as an ordered pair, the input-output pair is the **x, y pair.**

**Step four:** we plot the **ordered pairs**, connect them, and then extend the line beyond the points to show that the pattern continues.

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**Hook Questions**:

*1. *What is meant by **plotting points as ordered pair?**

*2. *How to form a **table of points from a given equation?**

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