Answer:
Please check the explanation.
Step-by-step explanation:
Graph from 1)
Given the points on graph 1
Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(-3,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{-3-1}[/tex]
[tex]m=-\frac{3}{4}[/tex]
Graph from 2)
Given the points on graph 2
Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(1,\:4\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-4\right)[/tex]
[tex]m=\frac{-4-4}{-3-1}[/tex]
[tex]m=2[/tex]
Graph from 3)
From figure 3, it is clear that the line is vertical.
Thus, the slope of a vertical line is undefined.
