Answer:
Lines A and C are pararllel
Explanation:
Here, we want to check if the lines are parallel given the points they pass through
If the lines are parallel, the value of their slopes will be equal
The slope value can be calculated as follows:
[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex]
Fo line a:
[tex]m\text{ = }\frac{1-3}{-4-(-2)\text{ }}\text{ = 1}[/tex]
for line b;
[tex]m\text{ = }\frac{-1-2}{-1-1}\text{ = }\frac{3}{2}[/tex]
for line c:
[tex]m\text{ = }\frac{-1-1}{1-3}\text{ = 1}[/tex]
Lines A and C have the same slope value and thus, they are parallel
