Question

Parallel lines are straight lines in a plane that never intersect and have the same slope, meaning they maintain a constant distance apart. Perpendicular lines, on the other hand, intersect at a right angle (90 degrees), creating a relationship characterized by their slopes being negative reciprocals of each other in your own words

Answer 1

Parallel lines are straight lines on a flat surface that never meet, no matter how far they are extended, and they always have the same steepness or slope. This means that the space between them remains constant.

In contrast, perpendicular lines are lines that cross each other at a right angle, forming a 90-degree angle where they meet. The relationship between their slopes is such that if you take the slope of one line, the slope of the other line will be the negative reciprocal—meaning if one has a slope of \(m\), the other will have a slope of \(-\frac{1}{m}\).