Answer: The lines are parallel
Step-by-step explanation:
In order to determine whether the lines are parallel (have the same gradient), perpendicular (gradients are negative reciprocal) or neither, we have to find the gradient of each line.
gradient = (y₂ - y₁) / (x₂ - x₁)
Let the line with points (3, 2) and (6, 8) = [a]
& (0, 2) and (2, 6) = [b]
Now, gradient of [b] = (6 - 2) / (2 - 0) = 2
gradient of [a] = (8 - 2) / (6 - 3) = 2
Since m of [a] = m of [b]
⇒ [a] ║ [b]
