Now we're going to look at how using a graphing calculator can help you determine the equation that matches a table of data. A graphing calculator is needed.

Let's look at the problem below:

Which equation generates this table of data?

x y
-1 4
0 8
1 12
2 16

A y = -4x

B y = 4x + 8

We can use the y= and table features of the graphing calculator to determine which equation is correct.

First use y= to enter the equation given in answer choice A.

calculator screen

Next use the table function to look at the table of data and compare it to the given table.

calculator table for y=-4x graph
x y
-1 4
0 8
1 12
2 16

This set of data is NOT the same as the given table.
(You may need to press 2nd Window to adjust the setup of the table.)

Now let's check answer choice B.

Enter the equation in y=

Use the table feature to check the table and compare to the given table.

calculator image of equation y=4x+8 insertion and table for y=4x+8 graph
x y
-1 4
0 8
1 12
2 16

YEAH!!!! The data in the table for y = 4x + 8 matches the given table.

Try some on your own. Determine which equation fits the given tables of data. Record your answers in your notes.

Table 1

x y
-1 3
0 5
1 7
2 9

A y = 2x + 5

B y = x + 5

Table 2

x y
-2 -3
0 -2
2 -1
4 0

C y = 2x – 1

D y = 1 2 x – 2

Table 3

x y
-3 6
-1 4
2 1
4 -1

E y = 2x – 1

F y = 3 – x

When you have written an equation for each of the tables, click "Check Your Answer."

Interactive popup. Assistance may be required.

Check Your Answer

Answers:

Table 1: A

Table 2: D

Table 3: F

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