Line JK contains points J (4, 3) and K (1, 5). Line LM contains points L (2, 3) and M (-1, 5). Lines JK and LM are . . a. parallel. b. perpendicular. c. neither

Verified 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.

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

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

As the Line JK contains points J (4, 3) and K (1, 5) .

Than the slope becomes

\(m = \frac{5 - 3}{1 - 4}\)

\(m = \frac{-2}{3}\)

As the  Line LM contains points L (2, 3) and M (-1, 5).

Than the slope becomes

\(m = \frac{5 - 3}{-1 - 2}\)

\(m = \frac{2}{-3}\)

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 .