Graphing ordered pairs

Introduction

In this lesson, given a table of values, graphs are plotted from ordered pairs and equations are written.

Suppose we are given a table showing x and y values. The independent variable is represented by x and the dependent variable is represented by y and we have the ordered pairs of x,y.

• From the ordered pairs, a graph is plotted
• From the table of values, an equation is found giving the relation between x and y.

Example 1

Plot the ordered pairs described by the table. Write an equation relating x and y.

Inputx	Outputy
0	0
1	12
2	24
3	36
4	48

Solution

Step 1:

The equation of the ordered pairs of given table is

y = 12x

Step 2:

The plot of the ordered pairs of given table −

Example 2

Plot the ordered pairs described by the table. Write an equation relating x and y.

Inputx	Outputy
0	0.5
4	1.5
8	2.5
12	3.5
16	4.5

Solution

Step 1:

The equation of the ordered pairs of given table is

y = 0.5 + x4

Step 2:

The plot of the ordered pairs of given table −