# How do you complete a table for the rule y=3x+2, then plot and connect the points on graph paper?

##### 1 Answer

Please read the explanation.

#### Explanation:

Given:

A **linear equation**:

Note that the **parent function** is

Consider the **parent function** and create a **data table** followed by a graph to understand the behavior of a linear graph.

compares with the parent function

Graph of the **parent function**:

Note that some of the points from the data table are plotted on the graph.

Now, we will consider the **data table** for the function given:

From the second table (on the right) above, we will collect just the

Plot and connect the points to create the graph:

Let us view both the graphs together and explain transformation.

Observe that the given linear function is in **Slope-Intercept Form**:

In our problem,

If **Slope is positive** and the **line increases from left to right.**

If **vertical shift** up

Since

Hope this helps.