Answer:
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 = [tex]\frac{8-4}{3-1}[/tex] = [tex]\frac{4}{2}[/tex] = 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m = [tex]\frac{14-6}{3+1}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Since slope of AB and CD are equal then lines are parallel
