Two Non Intersecting Lines

The two lines are concurrent means then the pencil is formed by the set of lines passing in their common point: if they are parallel, by the set of parallels to both, in the same direction means, they are non-intersecting lines. In fact, if the lines meet in the ordinary sense of the term or are parallel, the point can be at once obtained. These are called non-intersecting lines.

Example problem for two non intersecting lines:

1. Find the equation for two non intersecting lines that passes through the two points:
     Y = x – 5 and y = x + 5.
     Two non intersecting lines graph for the following equation:
     Y = x - 5
Solution:
   Now plug x values for 0, 1, 2, 3, 4
   When x = 0                                                 
   Y = (0) -5
   Y = 0-5
   Y = -5

   The co ordinate’s point is (0,-5).
   When we plug x = 1
   We get
   Y = 1 -5
   Y = -4

   The co ordinate’s point is (1, -4).
   When we plug x = 2
   We get
   Y = 2 -5
   Y = 2-5
   Y = -3

   The co ordinate’s point is (2,-3).
    When we plug x = 3
    We get
    Y = 3 -5
    Y = -2

   The co ordinate’s point is (3, -2).
    When we plug x = 4
    We get
    Y = 4-5
    Y = -1
The co ordinate’s point is (4, -1).

X	0	1	2	3	4
Y	-5	-4	-3	-2	-1

Two non intersecting lines graph for the following another equation:
   Y = x + 5
Solution:
    Now plug x values for 0, 1, 2, 3, 4
    When x = 0                                                 
    Y = 0+5
    Y = 0+5
    Y = 5

    The co ordinate’s point is (0, 5).
    When we plug x = 1
    We get
     Y = 1 +5
     Y = 6

    The co ordinate’s point is (1, 6).
     When we plug x = 2
     We get
     Y = 2 +5
     Y = 7

     The co ordinate’s point is (2,7).
     When we plug x = 3
     We get
     Y = 3 +5
     Y = 8

     The co ordinate’s point is (3, 8).
     When we plug x = 4
     We get
     Y = 4+5
     Y = 9

     The co ordinate’s point is (4, 9).

X	0	1	2	3	4
Y	5	6	7	8	9

The non intersecting lines represent in graph is,

Practice problem for two non intersecting lines:

1. Find the equation for two non intersecting lines that passes through the two points:
    Y = x – 4 and y = x + 4.
2. Find the equation for two non intersecting lines that passes through the two points:
    Y = x + 8 and y = x - 8.
3. Find the equation for two non intersecting lines that passes through the two points:

    Y = x + 2 and y = x - 2.