Question

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

Answer 1

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 2

The slope of the both the lines JK and LM are same thus these lines

are parallel to each other.

Option (a) is correct .

Explanation:

The slope equation is given by

`m = (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 = (5 - 3)/(1 - 4)`

`m = (-2)/(3)`

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

Than the slope becomes

`m = (5 - 3)/(-1 - 2)`

`m = (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 .