Question

Show that the lines are 3x + 2y + 9 = 0 and 12x + 8y − 15 = 0 are parallel lines

Answer 1

The equations of the given lines are

3x + 2y + 9 = 0   ......(1)

12x + 8y – 15 = 0   ......(2)

Slope of line (1) m₁ = `- ("coefficient of " x)/("coefficient of"  y)`

m₁ = `- 3/2`

Slope of line (2) m₂ = `- 12/8`

m₂ = `- 3/2`

Here m₁ = m₂

∴ The given lines are parallel.