Math Reflection

1. The dependent variable changes as the independent variable changes in a linear relationship. If the independent variable increases by 1, and the dependent increases by 5 each time, it is changing in a linear relationship. It is changing in a linear relationship because it is going up by 5 each time, and it doesn't change. If you sketched a graph the line would come out straight because it is evenly going up by 5 each everytime the independent variable increases by 1. For example, if the independent variable increases by 2 each time, and the dependent variable is increasing by 4 each time, it is changing in a linear relationship.

2. The pattern of change for a linear relationship shows up in a table, graph, and an equation of the relationship. It shows up in a table, if X shows up as 2,4,6,8,10 and Y shows up as 10,20,30,40,50, then it is linear because it is increasing by the same number (10) every time it increases by 2. In a graph a pattern of change in a linear relationship would show up by showing a straight line on the graph. For example, if X was increasing by 5 on the X axis, and Y was increasing by 20 on the Y axis, then a straight line would come out when you graphed it. The pattern of change for a linear relationship shows up in a equation of the relationship because the equation stays the same with the same numbers. For example, if X was 1 and Y was 5 the equation would stay as 5y=x.