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Linear Functions

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Term
Definition
Correlation:   The relationship between the changes in x and the changes in y.  
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Linear function   A function that forms a line. y=mx + b or ax + by = c.  
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Nonlinear function   Any function that does not form a line. x may be squared, or in the denominator or under a square root sign.  
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Parent function   The simplest version of each type of function.  
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Rate of change   The relationship between two amounts. For example miles per hour or dollars per hour.  
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Coefficient   A number in front of a variable. In y = 2x +3, 2 is the ___________.  
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Constant   A number or term that does not have a variable and does not change. In y = 2x +3, 3 is the ____________.  
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Scatterplot   A series of points on a graph. It usually represents collected data.  
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Slope   A number that represents the angle of a line. It is found by Δy/Δx or rise/run.  
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Slope-intercept form   A way to write a line that tells the slope and the y-intercept. The form is y = mx + b. “m” is the slope and “b” is the y-intercept.  
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Trend line   In a scatterplot, it is the line that runs down the middle of the points. You can use this line to make predictions about y values at different x values.  
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X-intercept   The place where a line crosses the x axis. It is also the point where y = 0.  
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Y-intercept   The place where the line crosses the y-axis. It is also the place where x = 0.  
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zeroes   The _______ of a function are the places where the function equals zero (where y = 0). It is also the x-intercepts of the function.  
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Δx   The change in x.  
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Δy   The change in y.  
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Solution   The answer to a problem. When you have an equation with one variable, it is a value of that variable that makes the equation true.  
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horizontal   A flat line running from right to left.  
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vertical   A line running up and down.  
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parallel   Two lines with the same slope. They are always the same distance from each other and never cross.  
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reciprocals   Two numbers that are fractions that are flipped.  
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scatter plot   Points on a graph that do not define a straight line but may show a general trend.  
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trend line   A line on a scatter plot that shows the general direction or trend of the points.  
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point slope form   A way to write a linear equation that gives a point and the slope. y-y1=m(x-x1)  
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standard form   A way to write a linear equation that gives rates of change for both variables and a total amount. ax+by=c  
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