# How do you determine if the following data set is linear or quadratic: (-4,10), (-3,7), (-2,4), (-1,1), (0,-2)?

We can start with converting it to table to see the effect of the variable $x$ on dependent variable $y$.
As you can see from the table, a one unit increase in $x$ results in 3 units decrease in $y$. Therefore, the dependent variable $y$ changes at a constant rate with the independent variable $x$. Since the data set exhibits a constant rate of change, it is therefore plausible to graphically represent it by a line that is depicted below.