Answer:
lines are parallel
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines is - 1
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = 3, 1) and (x₂, y₂ ) = (8, 6)
m = = = 1 ← slope of line a
Repeat with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2,9)
m = = = 1 ← slope of line b
Since both slopes are equal, line a and line b are parallel