Determine if line ab and line cd are parallel, perpendicular, or neither. a(1,4) b(3,8) c(-1,6) d(3, 14)

AB and CD are parallel lines

Step-by-step explanation:

• Parallel lines have equal slopes

• The slopes of perpendicular lines are negative reciprocals

Calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)

m = = = 2

let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)

m = = = 2

Since slope of AB and CD are equal then lines are parallel

Parallel

Step-by-step explanation:

Since AB and CD have the same slope, they are parallel