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Linear Functions, Linear Functions, Linear Functions
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Terms in this set (49)
y-axis
A measure of the steepness of a line
Slope
x-axis
The point where the graph of a line crosses the y-axis
y-intercept
Positive Slope
Ax + By = C
Standard Form
Negative Slope
y = mx + b
Slope Intercept Form
Slope of 0
Undefined Slope
m = (y2 - y1) / (x2 - x1)
Slope Formula
slope
"m" in y = mx + b stands for
Change in y / Change in x between two specific points
Average Rate of Change
y-intercept
"b" in y = mx + b stands for
A line that has zero slope
Horizontal Line
A line that has an undefined slope
Vertical Line
(0,0)
y = 2x has a y-intercept of...?
(0,-4)
What is the y-intercept if y = -2x - 4?
-1/2
What is the slope of y = -1/2x + 2?
Two lines that have the same slope
Parallel Lines
Positive
Is the slope of y = 2x + 3 negative or positive?
5
What is the y-intercept of y = 1/2x + 5?
the slope
What does this formula find?
y = 2x + 5
Give the following equation in slope intercept form
3y = 15 + 6x
Slope-intercept form
m = 1
Find the slope of a line that passes through the points
(-5,-2) and (0,3)
560
Population in Smallville
1975 75,400
1980 78,200
1985 81,476
Find the average rate of change from 1975 to 1980
Slope formula
Rise over run
x-intercept
The value of x when y is zero.
Definition of Linear Function
Function with a constant rate of change whose graph forms a straight line.
Graph with a positive slope
Graph with a negative slope
Graph with "undefined" slope
Graph with slope of zero
Graph of the line y = x
The result of a negative number times a negative number
A positive number
The result of a negative number plus a negative number
A negative number
Constant rate of change (unit rate)
the slope of a linear function
Continuous
describes a connected set of numbers, such as an interval (connected dots)
Discrete
a set with elements that are disconnected (dot plot)
Domain
the set of all x-coordinates of the set of points on a graph; the inputs of a function
Linear Function
a function with a constant rate of change and a straight line graph
Range
the set of all possible y-coordinates or outputs of a function
Slope
"rise over run"; the ratio of the vertical and horizontal changes between two points on a surface or a line
-3/1
Find the slope between (-1,1) and (0,-2) --keep as a fraction
4/1
Find the slope between (4,1) and (2,-3) --keep as a fraction
undefined
Find the slope between (4,1) and (4,-3) --keep as a fraction
0
Find the slope between (4,1) and (2,1) --keep as a fraction
2/3
Find the slope between (1,2) and (4,4) --keep as a fraction
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