Question

Are the lines parallel, perpendicular, or neither?

Answer 1

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]