How do you determine a linear function from a table and graph?

You are asking how to determine a linear function from a
table and a graph.

Linear functions graph as a straight
line, no curves allowed. So, if the graph is a straight line, it is the graph of a
linear function.

From a table, you can verify a linear
function by examining the x and y values.  The rate of change for y with respect to x
remains constant for a linear function. This rate of change is called the
slope.

We'll use this table for the
example.

x        y

0       
2

1        3

2       
4

3        5

4       
6

In this example the rate of change between the x and y
values is always 2.  This function could be written with the linear equation y = x +
2.

A linear function graphs as a straight
line.

A table of values for a
linear function shows a constant rate of change between the x and y
values.