Question

Which of the following lines are parallel.

Line a: (1,5) and (-2,-4)
Line b: (3, 2) and (1, -4)
Line c: (6, 1) and (-4, 2)
O Lines a and b
Olines a and c
(2 Points)
Lines b and c

Answer 1

Line a and line b have the same slope, and therefore are parallel.

The slope of line a can be calculated as follows:

slope = ( -4 - 5 ) / ( -2 - 1 ) = -9 / -3 = 3

The slope of line b can be calculated as follows:

slope = ( -4 - 2 ) / ( 1 - 3 ) = -6 / -2 = 3

Since both lines have the same slope of 3, they are parallel.

Answer 2

Lines a and b

Explanation:

Find the slope of each line and compare. Parallel lines have the same slope.

Line a: (-4 - 5) / (-2 - 1) = -9/-3 = 3

Line b: (-4 - 2) / (1 - 3) = -6/-2 = 3

Line c: (2 - 1) / (-4 - 6) = -1/10