Question

Are the following lines parallel, perpendicular a neither?
4у= 2x-5 and y=-2x +7

Answer 1

perpendicular

Explanation:

First, change the equation into slope intercept form, then compare the slope:

• If m₁ = m₂ → parallel
• If m₁ × m₂ = -1 → perpendicular
• others → none

`4y=2x-5`

`y=(1)/(4) (2x-5)`

`y=(1)/(2) x-(5)/(4)`

Therefore, m₁ =
`(1)/(2)`

`y=-2x + 7`

Therefore, m₂ = -2

• m₁ ≠ m₂ → not parallel
• m₁ × m₂ = 1/2 × -2 = -1 → perpendicular