Causation/Scatterplots
Random
Standard and Point-Slope Form
Parallel and Perpendicular
Slope-Intercept Form
100
Determine whether the graph shows a positive, negative, or no correlation.
Positive Correlation
100
Algebra: Is this a function: {(1, 2), (2, 3), (2, 4)}
Algebra: No
100
Algebra: What is the point-slope form of a linear equation:
Algebra: y - y1 = m(x - x1)
100
Explain the slopes of parallel lines and perpendicular lines.
Parallel: slopes are the same
Perpendicular: slopes are the opposite reciprocals
100
Algebra: What is the slope intercept formula?
algebra: y=mx+b
200
Determine whether the graph shows a positive, negative, or no correlation.
Negative Correlation
200
Simplify: -4(3x - 2) -2(4 + 3x)
-18x
200
Algebra: What is the Standard form of a linear equation:
Ax + By = C
200
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given line.
(-1, 2), y = (1/2)x - 3
y = (1/2)x + 2.5
200
Find the x- and y-intercept of the
line 2x + 3y = –18
x-intercept is –9; y-intercept is –6.
300
What is the definition of the correlation and the causation?
Correlation is the relationship of the data and causation is where a change in one variable causes a change in another variable.
300
Solve: (3 - 3x)/7 = 6
x = -13
300
Write an equation in point-slope form for the line that passes through (3, 4) with a slope of -2.
y - 4 = -2(x - 3)
300
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
7x – 4y = 4 x – 4y = 3
neither
300
Algebra: Write the slope-intercept form of the linear equation for the line passing through (2, 4) with a slope of 2
y = 2x
400
Determine whether this situation illustrates correlation but not causation, or causation.
Tera is shopping for a used car. She noticed a positive correlation between the age of a car and its mileage.
Causation
400
Simplify: a(b - c) - 2a(c + b)
-1ab - 3ac
400
Write y + 6 = -4(x - 3) in standard form.
4x + y = 6
400
Write an equation of the line that is parallel to the graph of y = 7x - 3 and passes through the origin.
y =7x
400
Algebra: Write the slope-intercept form of the linear equation for the line passing through (3,9) (5,4)
Algebra: y=-5/2x+33/2
500
Use the slope-intercept form to find the line of fit of the graph below.
y = 31.5x - 178
500
Algebra: Solve for a: ax + b = c
Algebra: a = (c - b)/x
500
A rental company charges $100 per hour to rent a paddle boat and $150 per hour to rent a pontoon boat. Write an equation in standard form that models the number hours you could rent a paddle boat or pontoon boat if you have $1200 to spend.
100x + 150y = 1200
500
If the line through (-2, 4) and (5, d) is parallel to the graph of y = 3x + 4, what is the value of d?
d = 25
500
Jackson is ordering tickets for a concert online. There is a processing fee for each order, and the tickets are $76 each. Jackson ordered 5 tickets and the cost was $398. Write an equation in slope-intercept form and determine the processing fee.
y = 76x + 18; $18 processing fee