Slope-Intercept Form
Point-Slope Form
Standard Form
Transforming Linear Functions
Comparing Properties of Linear Functions
100
Write the equation of each line in slope-intercept form: Slope is 3 and (1,5) is on the line.
y = 3x + 2
100
Write an equation in point-slope form for each line: Slope is 1 and (-2,-1) is on the line.
y + 1 = 1(x + 2)
100
Rewrite each equation in standard form: y = 6x - 4
6x - y = 4
100
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= -x + 9
The slope is reflected and the line shifts up 9 units.
100
Compare the initial value and the range for each of the linear functions f(x)= 2x + 1 and g(x)= x + 6 given the domain {2, 3, 4, 5}
Initial value of f(2)= 5, g(2)= 8. Range f(x)= {5, 7, 9, 11} Range g(x)= {8, 9, 10, 11}
200
Graph the following equation: y = 2x +3
Teacher's white board has the answer.
200
Write an equation in point-slope form for each line: Slope is 0 and (1,2) is on the line.
y - 2 = 0(x - 1)
200
Rewrite each equation in standard form: y - 2 = -(x +7)
x + y = -5
200
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= 3x.
The slope of g(x) is steeper than f(x).
200
Compare the initial value and the range for each of the linear functions f(x)= 4x + 2 and g(x)= 7x -3 given the domain {8,9,10,11,12}
Initial value f(8)= 34, g(8)= 53 Range f(x)= {34,38,42,46,50} Range g(x)= {53, 60, 67, 74, 81}
300
Write the equation of each line in slope-intercept form: Slope is 5 and (2,6) is on the line.
y = 5x -4
300
Write an equation in point-slope form for each line: Slope is 1/4 and (1,2) is on the line.
y - 2 = (1/4)(x - 1)
300
Rewrite each equation in standard form: y = (4/3)x - (2/3)
4x - 3y = 2
300
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= (1/4)x.
The slope of g(x) is flatter than f(x).
300
Compare the initial value and the range for each of the linear functions f(x)= 2x + 9, and g(x)= -x + 6 given the domain {-4,-3,-2,-1}
Initial value f(-4)= 1, g(-4)= 10 Range f(x)= {1,3,5,7} Range g(x)= {7,8,9,10}
400
Graph the following equation: y = (-1/2)x -1
Teacher's white board has the answer.
400
Write an equation in point-slope form for each line: (7,7) and (-3,7) are on the line.
y - 7 = 0(x -7) OR y - 7 = 0(x + 3)
400
Use the information given to write an equation in standard form: Slope is 3 and (1,4) is on the line.
3x - y = -1
400
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= 7x -8.
The slope of g(x) is steeper and the y-intercept is 8 units lower.
400
Compare the initial value and the range for each of the linear functions f(x)= -3x +15 and g(x)= -4x + 23 given domain {0,1,2,3,4}
Initial Value f(0)= 15, g(0)= 23 Range f(x)= {3,6,9,12,15} Range g(x)= {7, 11,15,19,23}
500
Write the equation of each line in slope-intercept form: Passes through (-1,-5) and (2,6).
y = (11/3)x - (4/3)
500
Write an equation in point-slope form for each line: (0,3) and (2,4) are on the line.
y - 3 = (1/2)(x - 0) OR y - 4 =(1/2)(x - 2)
500
Use the information given to write an equation in standard form: (25,34) and (35,50) are on the line.
8x - 5y = 30
500
Describe the transformations on the graph of the parent function f(x)=x that results in the graph g(x)= (-3/4)x + 5.
The slope is reflected and flatter for g(x) and the line shifts up 5 units.
500
Compare the initial value and the range for each of the linear functions f(x)= (3/2)x + 7 and g(x)= (1/2)x +12 given domain {10,11,12,13}.
Initial value f(10)= 22, g(10)= 17 Range f(x)= {22,22.5,25,26.5} Range g(x)= {17, 17.5,18,18.5}
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