Linear Functions
Parallel and Perpendicular Lines
SPIRAL
Scatter Plots & Linear Regression
Inverse Functions
100
Write the equation in slope-intercept form:
5x + 2y = 8
What is
y=-5/(2)x+4
100
Parallel lines have the _______ slope.
What is same?
100
Find the slope of the line that passes through this pair of points: (-3, 6) and (2, 4).
What is
-2/(5)
100
What type or association does the data represent?
What is positive?
100
Find the inverse of the relation:
{(7,3.5), (6.2,8), (-4,2.7), (12,1.4)}
What is {(3.5,7), (8,6.2), (2.7,-4), (1.4,12)}?
200
In 1991, 1267 manatees inhabited Florida's waters. The manatee population has increased at a rate of 123 manatees per year. Write an equation in function notation for the manatee population, P(t), t years since 1991.
What is:
P(t) = 123t + 1267
200
Perpendicular lines have _______________ slopes.
What is opposite reciprocal?
200
Suppose y varies directly as x. Write a direct variation equation that relates x and y, then solve.
If y=10 when x=5, find y when x=6.
What is y = 2x; 12?
200
What type of correlation does the data represent?
What is no correlation?
200
What is inverse function notation?
What is
f^(-1)(x)
300
Determine whether a vertical line can be written in slope-intercept form. Explain your reasoning!
What is no? A vertical line has no slope, it cannot be written in slope-intercept form.
300
Write an equation in slope-intercept form for the line that passes through (-1, 2) and is parallel to
y=1/(2)x-3
What is
y=1/(2)x + 2.5
?
300
Simplify the following expression:
3(x+2x)-10+2^(2)-3x*12
What is -27x - 6?
300
Find the correlation coefficient of the data:
{(1,101), (2,88), (3,110), (4,88), (5,88), (6,80), (7,69), (8,102), (9,78), (10,70)}
What is -0.6701?
300
Find the inverse of the function
f(x)=3x+8
What is
f^(-1)(x)=1/(3)x-8/(3)
?
400
Write the equation in standard form:
y+2=7/(8)(x-3)
What is
7x-8y=37
400
Determine whether the graphs are parallel, perpendicular, or neither.
2x-8y=-24,4x+y=-2
What is perpendicular?
400
Determine the domain and range:
{(3,4), (4,3), (2,2), (5,-4), (-4,5)}
What is domain: {-4, 2, 3, 4, 5}, range: {-4, 2, 3, 4, 5}?
400
What does the correlation coefficient tell us?
What is how close to a linear relationship the data is?
400
Write the inverse of the equation using inverse function notation
3y-12x=-72
What is
f^-1(x)=1/4x+6
500
Write an equation on point-slope form, slope-intercept form, and standard form for a line that passes through (-2,8) with slope
8/(5)
What is
y-8=8/(5)(x+2); y=8/(5)x+56/(5); 8x-5y=-56
500
Tyler is filling his 6000-gallon pool at a constant rate. After 4 hours, the pool contained 800 gallons. How many total hours will it take to completely fill the pool?
What is 30 hours?
500
Solve the absolute value equation:
2|4x-3|+2=-8
What is no solution?
500
What is the linear regression equation for the data?
What is
y=125.07x+560.21
500
If
f(x)=5x+a and f^-1(10)=-1,
find the value of a.
What is 15?