Answer:
The relationship between two variables is decreasing and linear.
Step-by-step explanation:
From the given table it is notice that the function passing through the points (1,5), (2,-1), (3,-7) and (4,-13).
Slope of the function between first two points (1,5) and (2,-1) is
[tex]m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{2-1}=-6[/tex]
Slope of the function between last two points (3,-7) and (4,-13) is
[tex]m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-13+7}{4-3}=-6[/tex]
The rate of change or slope of the function is constant.
From the given table it is noticed that the values of y decreased by 6 units as the values of x increased by 1 units.
Since the rate of change constant and negative, therefore the relationship between two variables is decreasing and linear.
