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Algebra II - Coggle Diagram
Algebra II
Solving Linear Systems
A linear system is simply two equations graphed on a linear plane, and the solution to a linear system is where the two lines graphed by the equations intersect.
To solve a linear system, you can graph the two equations and find what point they intersect on the graph, or what point the two lines cross over each other
A linear system in equation form may be: 
An example of a linear system graphed may look like:
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Linear Functions
Can be horizontal or even diagonal, but never vertical, because that would violate the rules of being a function. Is always a straight line or line segment.
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A function that represents a straight line on a graph. Since the equation is a function, there will always be one input and one output, usually described as (x) and (y). Linear functions are always in slope intercept form (y=mx+b).
Function Foundations
A function is an equation with one input and one output. This means that one input cannot have two outputs, although the same output may come from two inputs.
An example of a function equation may be:
A function can be determined by graphing the equation, and using a method called the "vertical line test." By picking any point on the line graphed by your equation, and drawing a vertical line, you can determine whether or not your equation is a function. To do this, count the amount of times your line intersects with the equation line. If more than once, it is not a function.
An example of a function graphed may be: