1) Intersection point of two lines: The intersection point of two lines is the point where the two lines intersect or meet. It is the location where the two lines share a common coordinate pair.
Illustration: Imagine two lines on a graph. The intersection point would be the point where the two lines cross each other.
2) System of linear equations: A system of linear equations is a set of two or more equations that are solved simultaneously. The variables in these equations represent unknown values, and the goal is to find values that satisfy all of the equations in the system.
Illustration: For example, consider the system of linear equations:
x + y = 4
2x - y = 1
This system consists of two equations that are to be solved at the same time.
3) Solution of a system as an ordered pair: A solution of a system of linear equations is a set of values for the variables that makes all of the equations in the system true. In a system of two equations, the solution is often expressed as an ordered pair (x, y), where x represents the value of one variable and y represents the value of the other variable.
Illustration: Consider the system of linear equations mentioned before:
x + y = 4
2x - y = 1
The solution to this system can be represented as the ordered pair (3, 1), where x = 3 and y = 1.
3 Vocabulary Terms - Define/Illustrate
1) Intersection point of two lines
2) System of linear equations
3) Solution of a system as an ordered pair
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