SOLUTION: The equations of three lines are given below. Line 1: 6x+4y=-2 Line 2. 2y=3x+7 Line 3. y=2x+1 3 For each pair of lines, determine whether they are parallel, perpen

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The equations of three lines are given below. Line 1: 6x+4y=-2 Line 2. 2y=3x+7 Line 3. y=2x+1 3 For each pair of lines, determine whether they are parallel, perpen      Log On


   



Question 1179045: The equations of three lines are given below.
Line 1: 6x+4y=-2
Line 2. 2y=3x+7
Line 3. y=2x+1
3
For each pair of lines, determine whether they are parallel, perpendicular, or neither.

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

Line 1 has the slope  m%5B1%5D = -6%2F4 = -3%2F2.


Line 2 has the slope  m%5B2%5D = 3%2F2.


Line 3 has the slope  m%5B3%5D = 2.


Comparing the slopes, we conclude


    (1)  Lines 1 and 2 are neither parallel nor perpendicular (the slopes are neither equal nor negatively reciprocal).


    (2)  Lines 2 and 3 are neither parallel nor perpendicular (the slopes are neither equal nor negatively reciprocal).


    (3)  Lines 1 and 3 are neither parallel nor perpendicular (the slopes are neither equal nor negatively reciprocal).

Solved, answered and explained.