Question

The equations of three lines are given below. Line 1: 6x-4y=6 Line 2: -2y=3x+5 Line 3: y=-2/3x+7 For each pair of lines, determine whether they are parallel, perpendicular, or neither.

Answer 1

lines are parallel !!

Answer 2

Line 1 and Line 2: Neither -- slopes are not same (one is negative one is positive)

Line 1 and Line 3: Perpendicular -- Line 3's slope is the negative reciprocal of Line 1's

Line 2 and Line 3: Neither -- different slopes

Explanation:

Lines are parallel if they have the same slope but different y-intercept.

Lines are perpendicular if the slopes are negative reciprocals.