The function 
The linear function is a function of the form is
, where
is slope and
is
-intercept.

Compare the equation with
.
Slope
and
-intercept
.
The linear function is
.
The slope is
and
-intercept is
.
The point is
and alternatively we found an additional point by evaluating
the function at some
, for
.
Replace
with
.


The point
is on the graph.
Draw a coordinate plane.
\Plot the point
.
Start the point
and move
unit right and up
units.
Next plot the point
.
.
The average rate of change of a linear function formula is
.
The linear function is
.
The average rate of change of a linear function
is
.
The linear function is a function is
.
Slope
.
Slope is positive. The function
is increasing on the interval
.
The slope is
and
-intercept is
.
The function
graph is
.
The average rate of change of a linear function
is
.
The function
is increasing on the interval
.