MSA mr 1

1.) Dependent variables change as the independent variables change in a linear relationship, because as the independent variable increases or decreases at a constant rate, so does the dependent variable. Look below for examples.

Example:

Table -

In this table, you can see that the independent variable (x) is increasing by 2 at a constant rate, and at the same time, the dependent variable (y) is increasing by 6. The dependent variable depends on the independent variable, because the dependent variable only changes when the independent variable changes, and this is what makes the independent variables independent, and what makes the dependent variables dependent, and this is how the dependent variable change as the independent variable changes in a linear relationship.

X	Y
2	6
4	12
6	18

2.) In a table, the pattern of change in a linear relationship shows up in a table, because the numbers in the table either decrease or increase at a steady rate, and this is how the pattern of change shows up in a linear relationship in a table. In a graph, the pattern of change for a linear relationship shows up in a graph, because you can see how the line increases in size and decreases in size. This is how the the pattern of change for a linear relationship shows up in a graph. In a table, the pattern of change in a linear relationship shows up in an equation, because you can see how the numbers would increase or decrease in the equation. This is how the pattern of change for a linear relationship shows up in an equation.