1. The dependant variable changes as the independent variable changes in a linear relationship, because if the independent variable increases, so does the dependant variable, and if the independent variable decreases, so does the dependant variable. For example, in problem 4 on page 13, as the time increases by 1 hour, the distance increases by 6.5 miles.

2. The pattern of change for linear relationship shows up in a table, because if there is a steady increase in the numbers, then there will be a linear relationship, but if the numbers have no pattern, there will not be a linear relationship. The pattern of change shows up in a graph, because if there is a straight line on the graph, that shows a linear relationship between the numbers, and if the data in the graph doesn't make a straight line, then there will not be a linear relationship. The pattern of change for linear relationships show up in an equation, because if the equation does not work for all numbers, then there will not be a linear relationship. If the equation woks for every number that you try and it makes a linear relationship, then the equation and data are linear.