Linear Functions
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| 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.
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| What is the initial condition? | The y-intercept is the initial condition or the starting point in the situation.
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| What is the slope-intercept formula? | y=mx+b or f(x)= mx+b
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| What is a linear function? | Is a function with an equation of the form y=mx+b
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| Thereom | If two lines have the same slope, then they are parallel.
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| Thereom | If two non-vertical lines are parallel, then they have the same slope.
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| What is an example of an Linear Combination? | 20P+32L
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| 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.
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| Thereom | The graph of Ax+By=C, where A and B are not both 0, is a line.
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| 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)
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| 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
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| What is an arithmetic sequence? | A sequence with a constant difference between succesive terms is called an arithmetic sequence.
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Created by:
kmalone30
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