Answer:
Slope = -6
Explanations:
The slope of a linear graph is given by the formula:
[tex]\text{Slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]
Note that the slope of a linear graph is the same at any two points on the graph
Cosidering the first two rows of the table
[tex]x_1=-4,y_1=20,x_2=-3,y_2=\text{ 14}[/tex][tex]\begin{gathered} Slope\text{ = }\frac{14-20}{-3-(-4)} \\ \text{Slope = }\frac{-6}{-3+4} \\ \text{Slope = }\frac{-6}{1} \\ \text{Slope = -6} \end{gathered}[/tex]
Considering the last two rows of the table
[tex]\begin{gathered} x_1=0,y_1=-4,x_2=2,y_2=-\text{ 16} \\ \text{Slope = }\frac{-16-(-4)}{2-0} \\ \text{Slope = }\frac{-16+4}{2} \\ \text{Slope = }\frac{-12}{2} \\ \text{Slope = -6} \end{gathered}[/tex]
