Inverses
An inverse relation (definition)
What is the set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair in a relation?
(y2-y1)/(x2-x1)
What is the slope formula?
An equation in slope-intercept form with a slope of 3 and a y-intercept at (0,-1)
What is y = 3x -1?
The slope for a line parallel to y = ⅘x -1
What is m=⅘?
When x increases as y increases
What is positive correlation?
The inverse relation of {(-2, 1), (-5, 0), (-8, -1), (-11, 2)}
What is {(1, -2), (0, -5), (-1, -8), (2, -11)}?
This formula is the default form you want to simplify an equation into; some believe it is the easiest form to graph from.
What is slope-intercept form?
An equation in point-slope form for a line that passes through (-6, 1) with a slope of -5/2
What is y - 1 = -(5/2)(x + 6)?
Slope of a line perpendicular to y = ⅘x -1
What is m = -5/4?
When x increases as y decreases
What is negative correlation?
The procedure to find an inverse function
What is
1. Replace f(x) with y
2.Switch y and x
3. Solve for y
4. Replace y with f-1(x)?
Standard Form
What is Ax + By = C?
An equation in slope-intercept form for a line that passes through the points (-4, 6) and (-3, 14)
What is y = 8x + 38?
The equation in slope-intercept form for a line parallel to y = -3x + 5 that passes through the point (-1, -2)
What is y = -3x - 5?
As Mark spends more minutes on an elliptical, the number of calories he burns per day increases. *causation
What is causation?
The inverse function of f(x)= 3(3x + 4)
What is f-1(x) = (x-12)/9
y-y1 = m(x - x1)
What is point-slope form?
An equation for a horizontal line that passes through (4, -2)
What is y = -2?
The equation in slope-intercept form for a line perpendicular to y =¾x - 8 that passes through the point (-9, 2)
What is y = -(4/3)x - 10?
The more siblings you have, the higher your number of hours spent watching television. *causation
What is no causation?
The inverse function of f(x) = (2x - 3)/7
What is f-1(x) = (7x + 3)/2
The rules for Standard Form
What are
1. A, B and C are integers
2. A ≥ 0?
An equation for a vertical line through the point (-1, 4)
x = -1
The equations in slope-intercept form for the lines parallel AND perpendicular to x + 3y = 6 that pass through the point (-3, -6)
What are y = -⅓x - 7 and y = 3x + 3?
Umbrella Use, x and Traffic Incidents, y. As umbrella use increases, the number of accidents increases. This is the type of correlation and causation between these variables.
What is positive correlation and no causation?