The point of intersection of two lines is the point where they cross. Lines can intersect at any point on the coordinate plane, or they may not intersect at all. If two lines have different slopes, they will intersect at a single point. If two lines have the same slope, they will either be parallel (never intersect) or coincident (overlap and have the same points). The coordinates of the point of intersection can be found by solving the system of equations formed by the two lines.