Question

Check whether the given lines are parallel or perpendicular

`x/3 + y/4 + 1/7` = 0 and `(2x)/3 + y/2 + 1/10` = 0

Answer 1

`x/3 + y/4 + 1/7` = 0, `(2x)/3 + y/2 + 1/10` = 0

Slope of the line (m₁) = `(-"a")/"b"`

= `-1/3 ÷ 1/4`

= `-1/3 xx 4/1`

= `-4/3`

Slope of the line (m₂) = `-2/3 ÷ 1/2`

= `-2/3 xx 2/1`

= `-4/3`

m₁ = m₂ = `-4/3`

∴ The two lines are parallel.