Direct Variation
Slope(Rate of Change)
Writing Linear Equations
Linear Transformations
Linear Regression
Zero & Y-intercept
Parallel & Perpendicular Lines
100
This is the formula for direct variation
y=kx
100
Find the slope of the line given the two points (-19, -6) (1, -13)
What is -7/20?
Extra 100 points: Describe the rate of change.
[The slope is ________ at a rate of _____ per _____.]
100
What is the equation for a line that passes through 5 on the y-axis?
What type of slope?
y = 5
zero
100
What is the linear parent function?
f(x) = x
100
What are the types of association that a scatterplot can have
Positive, Negative, No Association.
100
What is the zero & y-intercept?
y = 3x + 2
(-2/3 , 0)
(0 , 2)
100
What slope would make another equation parallel to y= 3x + 2?
A slope of 3
200
If y varies directly as x, and y = 3 when x = 9, find x when y = 5.
What is 15.
200
Write the equation of a linear function in slope-intercept form that has a slope of -1/2 and crossed through the point (-4, 5)
What is y = -1/2x + 3?
200
What is the equation of a line that has an undefined slope and passes through the point (4, 9)
x = 4
200
Describe the transformations on the graph of parent function f(x) = x that results in the graph g(x) = 3x
The slope of g(x) is steeper than f(x).
200
What is the line that goes through the middle of the date?
Trend line
Line of Best Fit
200
What is the x & y-intercept?
y = (-1/3)x + (-2)
(-6, 0)
(0, -2)
200
What slope would make another equation perpendicular to y= 3x + 2?
A slope of
- 1/3
300
Y is directly proportional to X.
y = 16 when x = 4
Find the y when x = 12.
What is 48.
300
The slope of a linear function, below, is given in standard form
5x + 3y = 15
What is m = -5/3?
Extra 100 Points: Describe the rate of change.
[The slope is ________ at a rate of _____ per _____.]
300
What is the Slope-Intercept Equation for this Graph?
y = -2x + 3
Extra 100 points: Describe the slope.
[The slope is ________ at a rate of _____ per _____.]
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
What type of correlation is represented between time spent on your phone during class and test scores in class?
Negative correlation
300
What is the zero & y-intercept?
y = -12 + 2x
(6, 0)
(0, -12)
300
What slope would make another segment parallel to a line segment with endpoints (5, 2) and (3, -5).
A slope of 7/2
400
If a linear relationship shows direct variation, how is m, the slope of the line, related to k, the constant of variation?
They are the same.
m = k in a proportional relationship
400
What is the slope of the equation x = -3?
undefined
400
A plumber charges a $65 fee for a repair plus $35 per hour. Write the equation that models the total cost y of a repair that takes x hours and then fill in the blank to explain the equation.
The plumber charges ______ and then the rate ________ by ________ per hour.
y = 65 + 35x(200 points)
65; increases; 35(200 points)
400
Describe the transformations on the graph of the parent function f(x) = x that results in the graph g(x) = 7f(x) - 8.
The slope of g(x) is steeper and the y-intercept is 8 units lower.
400
Which correlation is stronger?
-0.90 or 0.09
Describe the correlation type.(3 words)
- 0.90
Strong negative correlation
400
What is the x & y-intercept?
2y = -12 + 2x
(6, 0)
(0, -6)
400
What slope would make another segment perpendicular to a line segment with endpoints (-6, -2) and (-1, -1).
A slope of -5
500
If y varies directly with x, when x = -1 and y = 4. What is the constant of variation? (200 points)
Use the constant of variation to find y when x = 1/2. (300 points)
(200 points) k = -4
(300 points) When x = 1/2, y = -2.
500
Describe how to find the slope of a line from a graph.
Options
1. Find 2 "good" points and then (Y2 - Y1)/(X2 - X1).
2. Find 2 "good" points and then Rise/Over.
3. Put 2 "good" on a Table in Desmos. Then, enter the linear regression formula y1~mx1+b.
500
What is the Slope-Intercept Equation for this Graph?
y = 1/2x + 2
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 over the x-axis and is flatter for g(x). Also, the line shifts up 5 units.
500
How can a scatter plot be used to determine whether there is a strong correlation?
The points will be closer together and will be more aligned in a pattern.
When points from the graph are entered on a table. Then, after the linear regression formula is entered, the correlation coefficient(r) will be close to 1.
500
What is the zero & y-intercept?
5x + 3y = -1
(-1/5,0)
(0, -1/3)
500
Write the equation of a line that would be perpendicular to the line segment with endpoints (-2, 5) and (-2, 6).
y = any number