SOLUTION: Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither. I really need help with this one. Kim

Algebra ->  Coordinate-system -> SOLUTION: Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither. I really need help with this one. Kim       Log On


   

Question 751689: Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither.
I really need help with this one. Kim
Found 2 solutions by tommyt3rd, MathTherapy:
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
x-5y=15 has


m%5B1%5D=-B%2FA=-%28-5%29%2F1=5



and -5x-y+2=0 has


m%5B2%5D=-%28-1%29%2F%28-5%29=-1%2F5


and so

m%5B1%5Dm%5B2%5D=-1

they are perpendicular

:)

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither.
I really need help with this one. Kim

x - 5y = 15 has a slope of 1%2F5, while - 5x - y + 2 = 0 has a slope of -+5.

Since these two slopes are negative reciprocals of each other: 1%2F5 and -+%285%2F1%29, then the slopes are perpendicular to each other.