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Mixed Bag
Find the Intercepts
Absolute Value and Transformations
Slopes
Write the Equation
100
Write an equation in slope intercept form that has a slope of 2/3 and passes through the point (-3, 4)
y = 2/3x + 6
100
Find the x and y intercepts of y = -5/2x - 13
(0, -13) and (-26/5, 0)
100
Write an absolute value equation that has been shifted 3 spaces left and 2 spaces down, from the parent function.
y = |x+3| - 2
100
Find the slope of the line containing the points (-15, 7), (0, -11)
m = -6/5
100
Write an equation in slope intercept form with a slope of -3/2 that passes through the point (-4,4)
y = -3/2x-2
200
Write an equation in slope intercept form that is perpendicular to y = 2x-3 and passes through the point (2, -3)
y = -1/2x - 2
200
Find the x and y intercepts of y = 5/3x - 6
(0, -6) and (18/5, 0)
200
Write an absolute value equation that has been shifted 3 spaces left, 2 spaces up, and has a vertical stretch of 3 from the parent function.
What is y = 3|x+3| +2
200
Find the slope of the line containing the points (1, -1), (19, -17)
m = -8/9
200
Write an equation in slope intercept form that goes through the points (3, 4) and (1, 3)
y = 1/2x + 5/2
300
Find f(2) if f(x)=0.5(x+7)
9/2 or 4.5
300
Find the x and y intercepts of 2x - 3y = 24
(0, -8) and (12, 0)
300
Write an absolute value equation that has been shifted 1 space right, 1 spaces down, and has a vertical stretch of 2 from the parent function.
y = 2|x - 1| - 1
300
Find the slope of the line containing the points (-3, -5), (13, 10)
m = 15/16
300
Write an equation in slope intercept form that passes through the points (5, -3) and (1, -1)
y = -1/2x - 1/2
400
In 1991, there were 57 million cats as pets in the United States. By 1998, this number was 61 million. Write a linear model for the number of cats as pets. Then use the model to predict the number of cats as pets in 2010.
model: y = 571400x-1081000000 67,514,000 million cats in 2010
400
Find the x and y intercepts of 0.05x+0.02y=4
x int = 80, y int=200
400
Write an absolute value equation that has been shifted 4 spaces right, 3 spaces up, reflected across the x axis and has a vertical stretch of 3 from the parent function.
What is y = -3|x - 4| + 3
400
Find the slope between the points (-2, 19), (9, 6)
m = -13/11
400
Write an equation in slope intercept form that passes through the point (7,1) and is perpendicular to the line y=(5/3)x-2
y=-(3/5)x+26/5
500
In 1984, Americans purchased an average of 113 meals or snacks per person at restaurants. By 1996 this number was 131. Write a linear model for the number of meals or snacks purchased per person annually. Then use the model to predict the number of meals that will be purchased per person in 2006.
model: y = 1.5x - 2863, 146 meals or snacks in 2006
500
Find the x and y intercepts of the line 16x +5y = -40
(0, -8) and (-5/2, 0)
500
Write an absolute value equation that has been shifted 1 space up, 4 spaces left, and has a vertical stretch of 3 from the parent function.
What is y = 3|x+4|+1
500
Determine the value of "a" so that a line through (a,8) (2,-8) has a slope of 4/3
a=14
500
Write an equation in slope intercept form of the line that passes through (-2, -4) and (1, 1)
y = 5/3x - 2/3