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# Chapter 3:Linear

### Linear Functions

Constant-Increase Situ ations In many situations there is an initial condition and a constant change applied to that condition. This kind of situation can always be modeled by a linear equation.
What is the initial condition? The y-intercept is the initial condition or the starting point in the situation.
What is the slope-intercept formula? y=mx+b or f(x)= mx+b
What is a linear function? Is a function with an equation of the form y=mx+b
Thereom If two lines have the same slope, then they are parallel.
Thereom If two non-vertical lines are parallel, then they have the same slope.
What is an example of an Linear Combination? 20P+32L
What is a linear combination? This expression is called a linear combination of P and L. In a linear combination, all variables are to the first power and are not multiplied or divided by each other.
Thereom The graph of Ax+By=C, where A and B are not both 0, is a line.
What is the point-slop thereom? If a line contains(x1,y1) and has slope m, then it has equation y-y1=m(x-x1)
Ex: In 1990, there were approximentely 143.5 million cars in the United sates. Predict the number of traffic deaths. Solution: A. Subsitute 143.5 for x in the equation y= 323.5x+706 y= 323.5 X 143.5+706 y= 47,128.25
What is an arithmetic sequence? A sequence with a constant difference between succesive terms is called an arithmetic sequence.
Created by: kmalone30