Question

In this task, you are required to write a program that represents 2D Lines in the cartesian space. The program consists of three files: the header file (Line.h), the class file (Line.cpp) and the test file (Main.cpp). You are only required to complete the code in Line.cpp file. We already wrote the other two files. To understand what you need to do, read the codes in below.

Sample Testcase 0:
Input:
-1 3 -3 9 1
Output:
Start point: (-1,3)
End point: (-3,9)
Slope = -3
Is line horizontal? no
Is line vertical? no
Does the line or its extension pass through the origin? yes
New end point after mirroring wrt x-axis: (-3,-3)
Sample Testcase 1:
Input:
2.5 4.5 3.5 4.5 1
Output:
Start point: (2.5,4.5)
End point: (3.5,4.5)
Slope = 0
Is the line horizontal? yes
Is the line vertical? no
Does the line or its extension pass through the origin? no
New end point after mirroring wrt x-axis: (3.5,4.5)
Sample Testcase 2:
Input:
7.2 3.1 22 12.6 -1
Output:
Start point: (7.2,3.1)
End point: (22,12.6)
Slope = 0.641892
Is the line horizontal? no
Is the line vertical? no
Does the line or its extension pass through the origin? no
New end point after mirroring wrt y-axis: (-7.6,12.6)
Sample Testcase 3:
Input:
1 4 1 19 1
Output:
Start point: (1,4)
End point: (1,19)
Slope = inf
Is the line horizontal? no
Is the line vertical? yes
Does the line or its extension pass through the origin? no
New end point after mirroring wrt y-axis: (1,-11)

For the given task involving programming lines in Cartesian space, identify the statements that describe the characteristics of the line represented.
(A) Start point coordinates
(B) End point coordinates
(C) Slope of the line
(D) Line orientation characteristics

Answer 1

The characteristics of the line represented in the program include start point coordinates, end point coordinates, slope of the line, and line orientation characteristics.

Step-by-step explanation:

The given task involves programming lines in Cartesian space, which is a mathematical concept. Cartesian space is a system that uses two straight lines (axes) to represent points in two-dimensional space. The characteristics of the line represented in the program include:

1. Start point coordinates: The coordinates of the starting point of the line.
2. End point coordinates: The coordinates of the ending point of the line.
3. Slope of the line: The measure of how steep or flat the line is.
4. Line orientation characteristics: Whether the line is horizontal, vertical, or neither.