It depends on how you define "ways" and how you define "lines" and how you define "intersect" and what kind of geometry you're talking about, but in Euclidean geometry, lines either never intersect, or they intersect at a single point, or they can intersect at all points within the lines.
Two lines intersect at one point. If in two dimensions, and they do not intersect they are parallel. The other option in two dimensions is they are the co-linear, that is they are the same line, in which case they intersect at all points.
2
Two pairs of adjacent angles are formed when two lines intersect each other.
Two.
It depends on how you define "ways" and how you define "lines" and how you define "intersect" and what kind of geometry you're talking about, but in Euclidean geometry, lines either never intersect, or they intersect at a single point, or they can intersect at all points within the lines.
If rays, parallel ones. If segments there are many more options because you can have a segment that is not long enough to reach the point of intersection.
parallel lines never intersect.
Since the lines that intersect are the equations, if they intersect once they have one solution.
3 non-coplanar (pairwise) lines for 3 dimensional space.
None. Parallel lines do not intersect in Euclidean geometry.
Two lines can intersect at none, one or infinitely many points.
Parallel lines don't intersect, no matter how many of them there are.
If two lines have different slopes, then they intersect at exactly one point. It makes no difference what their y-intercepts are.
Two lines that intersect will create2 pairs of equal angles and if the lines are perpendicular the angles created will be right angles
4*3/2 = 6 lines.
-- An infinite number of different planes can intersect the same line. -- The same line can lie in an infinite number of different planes. -- An infinite number of different lines can intersect the same plane.