Intersection of Two Lines (line_intersection)

Finds the intersection of two lines.

line_intersection

Finds the intersection of two lines.

Syntax

[x_int,y_int] = line_intersection(line1,line2)

Description

[x_int,y_int] = line_intersection(line1,line2) returns the intersection [x_int,y_int] of two lines. Each line can be defined in four different ways:

1. line = x0: vertical line form (vertical line defined as )
2. line = [m,b]: slope-intercept form ()
3. line = [x0,y0,m]: point-slope form ()
4. line = [x1,y1,x2,y2]: two point form (line that contains the points and )

Edge Cases:

• Vertical lines can be defined using the vertical line form or the two point form.
• If the two lines are parallel (but not collinear), the function returns positive or negative infinity for the coordinates of the intersection, and a warning is displayed.
• If the two lines are collinear (but not vertical), the function returns [NaN,NaN] and displays a warning.
• If the two lines are vertical and collinear, the function returns the x-coordinate of the line for the x-coordinate of the intersection, and NaN for the y-coordinate of the intersection.

Examples and Additional Documentation

• See "EXAMPLES.mlx" or the "Examples" tab on the File Exchange page for examples.
• See "Intersection_of_Two_Lines.pdf" (also included with download) for the technical documentation.