Point of Intersection
Definition of Point of Intersection

• The point at which two or More lines Intersect is called the Point of Intersection.

More about Point of Intersection

• Two lines always Intersect at only one point.
• The Point of Intersection also gives the solutions for a system of equations.

Example of Point of Intersection

• The Point of Intersection of two lines x – y = 0 and 3x – 10y = - 14 is given below.

P(2, 2) is the Point of Intersection for the above system and also is the solution of the given systems of equations.

Solved Example on Point of Intersection

Identify the Graph that represents the Point of Intersection of the two given lines and spot the point of intersection.
2x – y = 4
3y – x = 3

Choices:
A. Graph 1; (3, 2)
B. Graph 2; (- 2, 0)
C. Graph 3; (2, 3)
D. Graph 4; (4, 4)
Correct Answer: A
Solution:
Step 1: The point at which two or More lines Intersect is called the Point of Intersection.
Step 2: Plot the given equations on a graph.

Step 3: The Point of Intersection from in the Graph is (3, 2).
Step 4: So, Graph 1 represents the two given lines and the Point of Intersection is (3, 2).

Related Terms for Point of Intersection

• Graph of a Linear Equation
• Intersecting Lines
• Line
• Point
• System of Equations

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