SOLUTION: Give the slope of each line and then determine whether the two lines are​ parallel, perpendicular, or neither parallel nor perpendicular. 5x+4y=8 20x+16y=0

Algebra ->  Linear-equations -> SOLUTION: Give the slope of each line and then determine whether the two lines are​ parallel, perpendicular, or neither parallel nor perpendicular. 5x+4y=8 20x+16y=0      Log On


   

Question 1042912: Give the slope of each line and then determine whether the two lines are​ parallel, perpendicular, or neither parallel nor perpendicular.
5x+4y=8
20x+16y=0
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first, you do the next one the same way.
5x%2B4y=8
4y=-5x%2B8
y=-%285%2F4%29x%2B2
The slope of this line is m=-5%2F4.
Now find the slope of the second line.
If they're parallel,
m%5B1%5D=m%5B2%5D
If they're perpendicular to each other,
m%5B1%5D%2Am%5B2%5D=-1
Else choose neither.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Give the slope of each line and then determine whether the two lines are​ parallel, perpendicular, or neither parallel nor perpendicular.
5x+4y=8
20x+16y=0
5x + 4y = 8 ------- eq (i)

20x + 16y = 0 ----- eq (ii)

5x + 4y = 0 ------- Dividing eq (ii) by 4 ------ eq (iii)

Now look at eqs (iii) & (i). When you SUBTRACT one from the other, what do you get? This will determine your answer.

OR

Just find each slope and compare them!