SOLUTION: The equations of three lines are given below: Line 1: 4y = 3x + 5 Line 2: y = 3/4x + 8 Line 3: 8x - 6y = -6 For each pair of lines, determine whether they are parallel,

Algebra.Com
Question 1153686: The equations of three lines are given below:
Line 1: 4y = 3x + 5
Line 2: y = 3/4x + 8
Line 3: 8x - 6y = -6
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2.
Line 1 and Line 3.
Line 2 and Line 3.

Thank you so much!!

Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

Let's write all three equations in the form y = ax + b.


Line 1:  y =  + 


Line 2:  y =  + 8


Line 3:  y =  + 1.



Now you see that Line 1 and Line 2 have the same slope, but they are not identical; they are different. 

    Hence, they are parallel.



Line 1 and Line 3 have different slope; hence, they are not parallel.

The slopes  {{3/4}}} and   are not negative reciprocal. Hence, Line 1 and Line 2 are not perpendicular.

    The optional answer is NEITHER.



Line 2 and Line 3 have different slope; hence, they are not parallel.

The slopes  {{3/4}}} and   are not negative reciprocal. Hence, Line 2 and Line 3 are not perpendicular.

    The optional answer is NEITHER.


Solved. // All questions are answered.



RELATED QUESTIONS

The equations of three lines are given below. Line 1: 6x+4y=-2 Line 2. 2y=3x+7 Line 3. (answered by ikleyn)
The equations of three lines are given below. Line 1: =y−−2x6 Line 2: (answered by Alan3354,Shin123,ikleyn)
There are seven questions that I am having trouble answering and would like some help on... (answered by edjones)
determine whether the pair of equations represents parallel lines 3x-4y=6... (answered by Cromlix)
find the slope of each line. y = 2x -3 2y = -x + 4 In each pair of equations give the... (answered by ewatrrr)
Determine whether the graphs of the equations are parallel lines, perpendicular lines, or (answered by scott8148)
1-which of the following equations passes through the points (2,4) and (-3,-6)? 2-Given... (answered by stanbon)
I have a list of questions that I am having trouble with. Please help, I have already... (answered by mananth)
what are the slopes of these lines, and the slopes of lines parallel to them?: 1.) y = (answered by Maths68)