Determine whether each pair of lines is parallel, perpendicular, or neither.
5x-y=8 and 5y= -x+3
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the slope of the first line is 5
slope of the second line is -1/5
hence they are perpendicular
slope of the second line is -1/5
hence they are perpendicular
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given 5x-y-8=0
x+5y-3 = 0
here a₁ = 5 b₁ = -1 c₁= -8
a₂ = 1 b₂ = 5 c₂ = -3
a₁/a₂ = 5/1
b₁/b₂ = -1/5
a₁/a₂ ≠ b₁/b₂
so lines are intersecting.
x+5y-3 = 0
here a₁ = 5 b₁ = -1 c₁= -8
a₂ = 1 b₂ = 5 c₂ = -3
a₁/a₂ = 5/1
b₁/b₂ = -1/5
a₁/a₂ ≠ b₁/b₂
so lines are intersecting.
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