Types of Lines

Lines are infinitely long and thin straight geometrical object. Lines are classified in to different types based on their properties. The different types of lines are:

• Straight Line
• Vertical line
• Horizontal line
• Skew Lines
• Parallel Lines
• Perpendicular Lines

  Vertical Line

  
  
  
  Vertical Line is one of the types of lines with an undefined slope. Slope of the vertical line is undefined. We can draw a graph for vertical line by plotting x=n. Here, n equals to any type of real numbers. In simple words, we can say that all points in the straight line have the same x coordinate. It is parallel to the y axis of the co-ordinate plane.
  The equation of the vertical line is, x=a. Here x is any point in the line of coordinate x and a is the x - intercept.
  

  Horizontal Line

  Horizontal Line is one of the types of lines in which all points has the same y - coordinate. It is parallel to the x-axis of the plane. The slope of the horizontal line is zero.
  The horizontal line equation is Y=b. Here y is any point in the line of x coordinates and b is the y - intercept. It is independent on x.
  

  Parallel Lines

  
  If the distance between two straight lines is same at all points, then these types of lines are said to be parallel lines. In the two dimensional Euclidean space are said to be parallel if they do not intercept the two lines.
  

  Skew lines:

  

  When two non parallel lines are not intersecting in a space, they are called as skew lines. These types of lines are also known as agonic lines. It exists in three or more dimensions.
  

  Perpendicular lines:

  Perpendicular lines are one of the types of lines which is formed when a horizontal and a vertical lines meet each other. In other words, when the two lines form congruent adjacent angles to each other, they are said to be perpendicular lines.
  
  
  
  

Coordinate Geometry

The coordinate geometry is an important branch of mathematics. It mainly helps us to locate the points in a plane. Its uses are spread in all fields like trigonometry, calculus ,dimensional geometry etc. And the subject have obvious applications in statistics ,physics also. Here we will see some applications through examples. First we will see the coordinate plane, which is made up of x and y axes. The horizontal line is the x axis and the vertical line is the y axis.

We can see in the figure two intersecting lines, that is the x and y axis,and they meet at the origin (0,0). We are marking the coordinates using x and y ordinates respectively ,with a seperating comma. We can see the numbers marked in the plane ,at a unit difference. This will help us to locate the points easily.
For example: We can mark the point (1,1) directly up to the point 1 in x axis and directly straight to 1 in y axis to the right side. And for drawing graphs we have to plot the points like this and have to join them.

Coordinate Geometry Help

Suppose we have to find the distance between 2 points, we can use the help of coordinate geometry for this. For calculating the distance we have the distance formula in coordinate geometry. Distance d= √ [(x₂-x₁)² +(y ₂-y₁)² ]. To find the angle between 2 lines, we can use tan ^-1m, where m is the slope of the line with respect to the origin.

Coordinate Geometry in Real Life

In real life for the construction field we are mainly using the coordinate geometry. The sketch of the building is pure geometry. and for printing pdf files we are using this geometry help. For finding the distance between the places we are using coordinate geometry and in geography also it have many applications . In astrophysics to find the distance between the planets,coordinate geometry helps.