It is usually called an intersection or an intersection point.
Intersection
If they do intersect, it will be at their point of intersection.
point
No, two straight lines can intersect at only one point and that is their point of intersection.
Two lines that intersect at a right angle are called perpendicular.
intersection
Lines that intersect to form right angles at their point of intersection have slopes that are negative reciprocals.
Point of intersection
When two lines intersect at a right angle, they are "perpendicular"
It is the point of intersection.
It is the point of intersection.