Examples of Math Problems: Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither.

Wednesday, May 22, 2013

Determine whether the lines x-5y=15 and -5x-y+2=0 are parallel, perpendicular, or neither.

x-5y=15 has

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

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

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

and so

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

they are perpendicular

:)

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