![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
a.
\Pick two sets of values in the table and determine the difference of the outputs ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b1f02a70f7489dd3b8742e9e1c94d6d0.png\")
and the difference
of the inputs ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8da2268e35b6b6daab9c47f71c4c8bf4.png\")
.
Divide the difference of the outputs by the difference of the inputs.
\This is the rate of change.
\Follow the process for the rest of the data to confirm the rate of change is constant and, thus the function is linear.
\b.
\Pick two separate coordinates that fall on the graph of the straight line.
\Determine the difference of the outputs ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b1f02a70f7489dd3b8742e9e1c94d6d0.png\")
and the difference of the inputs ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8da2268e35b6b6daab9c47f71c4c8bf4.png\")
.
Divide the difference of the outputs by the difference of the inputs.
\This is the rate of change.
\c.
\Pick two random -values and substitute them into the equation to determine the corresponding -value.
Determine the difference of the outputs and the difference of the inputs .
Divide the difference of the outputs by the difference of the inputs.
\This is the rate of change.