one is horizontal an the other is vertical
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew lines.
They are not parallel.
equal
skew lines
They are skew lines. Two parallel lines must be in the same plane.
Yes, parallel lines have different intercepts
No, only lines that have the same slope can be parallel.
Because, parallel lines never intersect.
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew lines.
They are not parallel.
No. In order to be parallel, two lines would have to have the same slope, and different intercepts.Why? Two lines with different slopes, but the same intercepts would result in two intersecting lines. Two lines with the same slope, and the same intercept would result in the same line. Two lines with the same slope, and different intercepts would be parallel.
Two parallel lines never meet or intersect. Two lines that aren't parallel must have one point somewhere where they intersect.
equal
When two lines are parallel, then they do not intersect.
skew lines
They are skew lines. Two parallel lines must be in the same plane.
Two non-parallel lines in a plane will intersect at exactly one point. This is because non-parallel lines have different slopes, which means they will eventually cross each other. If the lines were parallel, they would never meet. Thus, the intersection of two non-parallel lines is a unique point.