Determine if the two lines are parallel, perpendicular, or neither if line a passes through points (–1, 4) and (2, 6) and line b passes through points (2, –3) and (8, 1)

Alice Chen

Alice Chen

Answered question

2022-11-04

Determine if the two lines are parallel, perpendicular, or neither if line a passes through points (–1, 4) and (2, 6) and line b passes through points (2, –3) and (8, 1)

Answer & Explanation

fobiosofia3ql

fobiosofia3ql

Beginner2022-11-05Added 14 answers

First we need to find the slopes of the lines to make any determinations.

If the slopes are equal then the lines are parallel .
If the slopes are negative reciprocals then the lines are perpendicular .
If the slopes are neither of the above are true then the lines are neither .

m a = y 2 - y 1 x 2 - x 1 = 4 - 6 - 1 - 2 = - 2 - 3 = 2 3

m b = y 2 - y 1 x 2 - x 1 = - 3 - 1 2 - 8 = - 4 - 6 = - 2 - 3 = 2 3

The slopes are equal so the lines are parallel.

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