Formula to find the slope, m, or change in function of a graph is given below as,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the first linear graph,
[tex]\begin{gathered} \text{Where x = 0, y = 0 }_{} \\ (x_1,y_1)=(0,0) \\ \text{Where }x\text{ = -2, y = 2} \\ (x_2,y_2)=(-2,2) \end{gathered}[/tex]
Substituting the coordinates into the equation,
[tex]m=\frac{2-0}{-2-0}=\frac{2}{-2}=-1[/tex]
For the second linear graph,
[tex]\begin{gathered} \text{Where x = 0, y = 2} \\ (x_1,y_1)=(0,2) \\ \text{Where x = 2, y = 2} \\ (x_2,y_2)=(2,2) \end{gathered}[/tex]
Substituting the coordinates into the equation,
[tex]m=\frac{2-2}{2-0}=\frac{0}{2}=0[/tex]
For the third linear graph,
[tex]\begin{gathered} \text{Where x = -4, y = 0} \\ (x_1,y_1)=(-4,0) \\ \text{Where x = -4, y = 2} \\ (x_{2,}y_2)=(-4,2) \end{gathered}[/tex]
Substituting the coordinates into the equation,
[tex]m=\frac{2-0}{-4-(-4)}=\frac{2}{-4+4}=\frac{2}{0}=\infty[/tex]
Hence, the slope of the first graph is -1.
Slope of the second graph is 0 since it doesn't rise vertically.
Slope of the third graph is infinite because it is a vertical line that neither move to the left or right.
