The above diagram contains a values table of (x,y) coordinates that is arranged vertically down the page.
This is called a “T-Table” because its shape with the x and y headings at the top resembles the letter “T”.
We can also represent the same values in a horizontal table like this:
When we compare the two table layouts, we believe that the T-Table is far superior.
The T-Table is better because it makes it easier to write out the set of (x,y) coordinates.
From these (x,y) coordinates we are going to make our graph.
If you are not familiar with plotting (x,y) points onto an X-Y Grid, then click the link below to learn about this before continuing any further.
Graphing From a T-Table
To plot a graph using values from a T-Table we follow these steps:
Step 1) Write the table out as a set of (x,y) coordinates.
Step 2) Rule up an X-Y grid on graph paper.
Step 3) Plot the points onto the grid.
Step 4) If the points form a pattern, then use a ruler to join the points together.
Step 5) Extend the line to fill the grid, and then add arrows to both ends.
Example Plotted Graph from T-Table
Here are Steps 1 and 2 completed.
Notice how easy it is to write out the (x,y) values. This is because they are already set out in order within the T-Table.
Completing Steps 3 to 5 produces the following graph.
Cartesian Plane Practice Grid
Here is a blank Cartesian Plane you can print out or Project onto a Whiteboard to practice plotting graphs.
Clicking the Image should take you to an 800×494 pixels grid that can be projected or printed.
That’s it for plotting points from X-Y values that are in “T-Tables”.
In the next lesson we will look at plotting points to make a line starting with an Algebra Equation “rule” like y = 2x + 1 .
If you enjoyed this post, why not get a free subscription to our website.
You can then receive notifications of new pages directly to your email address.
Go to the subscribe area on the right hand sidebar, fill in your email address and then click the “Subscribe” button.
To find out exactly how free subscription works, click the following link:
If you would like to submit an idea for an article, or be a guest writer on our blog, then please email us at the hotmail address shown in the right hand side bar of this page.
If you are a subscriber to Passy’s World of Mathematics, and would like to receive a free PowerPoint of this lesson, valued at $4.99, but 100% free to you as a Subscriber, then email us at the following address:
Please state in your email that you wish to obtain the free subscriber copy of the “Plotting Points from T-Tables” PowerPoint Presentation.