Is y=4x-1 and 12x=3y+7 parallel, perpendicular, or neither
2 answers:
Answer:
Neither is the answer.
Step-by-step explanation:
If a line y = m₁x + c₁ and y = m₂x + c₂ are perpendicular to each other then m₁ × m₂ = -1
If both the lines are parallel to each other then m₁ = m₂
Now two lines have been given as
y = 4x - 1 ----------(1)
12x = 3y + 7
3y = -12x + 7
y = -4x + ------(2)
Now from equation (1) and equation (2),
m₁ = 4 and m₂ = -4
Since m₁ ≠ m₂
Therefore, these lines are not parallel
m₁ × m₂ = 4 × (-4) = -16
Therefore, both the lines are neither parallel nor perpendicular.
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