Answer:
Line A and Line C are parallel
Step-by-step explanation:
Slope Equation: [tex]m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Step 1: Find the slope of the first line
Line a passes through (-1, -2) and (1, 0).
[tex]m = \frac{(0- (-2))}{(1 - (-1))}[/tex]
[tex]m=\frac{2}{2}[/tex]
[tex]m=1[/tex]
Step 2: Find the slope of the second line
Line b passes through (4, 2) and (2, -2).
[tex]m = \frac{(-2- 2)}{(2 - 4)}[/tex]
[tex]m = \frac{-4}{-2}[/tex]
[tex]m=2[/tex]
Step 3: Find the slope of the third line.
Line c passes through (0, 2) and (-1, 1).
[tex]m=\frac{(1-2)}{(-1 - 0)}[/tex]
[tex]m=\frac{-1}{-1}[/tex]
[tex]m=1[/tex]
Answer: Line A and Line C are parallel
