lines that will not intersect and never meet
1. Two parallel lines in a plane will never intersect.
2. A line and a plane that are parallel to each other will never intersect.
3. Two skew lines (lines that are not in the same plane and do not intersect) will never meet.
4. Two lines in different dimensions, such as a line in two-dimensional space and a line in three-dimensional space, will never intersect or meet.
5. Two lines that are infinitely extended in opposite directions and never come closer to each other will never intersect.
Lines that will not intersect and never meet are called parallel lines. Here are the steps to determine if two lines are parallel:
Step 1: Identify the slopes of the lines. The slope of a line can be found using the formula: slope = (change in y-coordinates) / (change in x-coordinates).
Step 2: If the slopes of the two lines are equal, then they are parallel. Parallel lines have the same slope.
Step 3: If the slopes are not equal, the lines are not parallel and may intersect at some point.
Remember, parallel lines will never intersect regardless of how far they are extended.