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Answer :
To determine the relationship of the lines, determine their slopes through the equation,
m = (y2 - y1) / (x2 - x1)
Line 1 m = (5 - 3) / (1 - 4) = -2/3
Line 2 m = (5 - 3) / (-1 - 2) = -2/3
The slopes are equal. Thus, these lines are parallel.
m = (y2 - y1) / (x2 - x1)
Line 1 m = (5 - 3) / (1 - 4) = -2/3
Line 2 m = (5 - 3) / (-1 - 2) = -2/3
The slopes are equal. Thus, these lines are parallel.
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Answer:
The slope of the both the lines JK and LM are same thus these lines
are parallel to each other.
Option (a) is correct .
Step-by-step explanation:
The slope equation is given by
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
As the Line JK contains points J (4, 3) and K (1, 5) .
Than the slope becomes
[tex]m = \frac{5 - 3}{1 - 4}[/tex]
[tex]m = \frac{-2}{3}[/tex]
As the Line LM contains points L (2, 3) and M (-1, 5).
Than the slope becomes
[tex]m = \frac{5 - 3}{-1 - 2}[/tex]
[tex]m = \frac{2}{-3}[/tex]
As the slope of the both the lines JK and LM are same thus these lines
are parallel to each other.
Option (a) is correct .
