Answer:
The graph is linear
Explanations:
For a graph to be linear, they must have a constant slope at all the segments of the graph
The formula for the slope of a graph is given as:
[tex]\text{Slope = }\frac{y_2-y_1}{x_2-x_1}[/tex]
Considering the first two rows of the graph
[tex]\begin{gathered} x_1=-5,x_2=0,y_1=-7,y_2=\text{ -8} \\ \text{Slope = }\frac{-8-(-7)}{0-(-5)} \\ \text{Slope = }\frac{-8+7}{0+5} \\ \text{Slope = }\frac{-1}{5} \\ \text{Slope = -0.2} \end{gathered}[/tex]
Considering the last two rows of the graph
[tex]\begin{gathered} x_1=5,x_2=10,y_1=-9,y_2=-10 \\ \text{Slope = }\frac{-10-(-9)}{10-5} \\ \text{Slope = }\frac{-10+9}{5} \\ \text{Slope = }\frac{-1}{5} \\ \text{Slope = -0.2} \end{gathered}[/tex]
Since the slope is constant for all the segments of the graph, the graph is linear.
