Question

Line r passes through points (1, 13) and (10, 5). Line s passes through points (1, 1) and (9, 10). Are line r and line s parallel or perpendicular?

Answer 1

Answer: The product is -1. So, line r and line s are perpendicular. They meet at right angles!

Explanation: The slopes of lines tell us a lot about their relationship. For line r, the slope is
`-8/9`, and for line r, its
`9/8`.

Now, if two lines are parallel, their slopes are equal. But here,
`-8/9` doesn't equal
`9/8`.

However, when two lines are perpendicular, the product of their slopes is -1. Guess what?

`(-8/9) * (9/8) = -1`

So, in a nutshell, line r and line s are like perpendicular pals, meeting at right angles. They're not going in the same direction, but they're making a perfect 90-degree connection