Linear Functions

Slope-Intercept Form

100

What is slope-intercept form?

y = mx + b

200

Write an equation in slope-intercept form for the line with a y-intercept of 4 and a slope of 5.

y = 5x + 4

300

Write an equation in slope intercept form for the line through (0, 3) and (3, 5)

y = 2/3x + 3

400

Write an equation in slope-intercept form for the line through (0, 1) and (4, -1).

y = -1/2x + 1

500

A landlord charged $865 per month to rent an apartment in 2010.  The rent increased at a constant rate and reached $1065 per month in 2018.  Estimate the monthly rent in 2025.  

$1,240

Point-Slope Form

100

What is point-slope form?

y - y1 = m (x - x1) 

200

Write an equation in point-slope form of the line that passes through the point (4, 7) and has a slope of -1. 

y - 7 = -1(x - 4)

300

Write an equation in point slope form for a line that passes through (4, -5) and has a slope of 2.  

y + 5 = 2 (x -4)

400

Write a linear function f with the values 

f(10) = 5    and f(2) = -3

f(x) = x -5 

500

Write a linear function f with the values 

f(6) = 8 and f(9) = 3

f(x) -5/3x + 18

Parallel & Perpendicular

100

Lines with the same slope are __________.

Parallel

200

Perpendicular lines have slopes that are _________ ________. 

Opposite reciprocals

300

Determine which lines are parallel.  

Line a:  (0, 4) and (4, 3)

Line b:  (0, 1) and (4, 0)

Line c:  (2, 0) and (4, 4)

a and b are parallel

400

Write an equation in slope-intercept form for the line that passes through (1, 5) and is parallel to the line y = -4x + 2.

y = -4x + 9

500

Write an equation in slope-intercept form for the line that passes through (2, -3) and is perpendicular to the line y = -2x - 3.

y = 1/2x - 4 

Scatter Plots & Lines of Best Fit

100

In a scatter plot, the points lie close to a line.  As x increases, y increases.  Describe the correlation.

Positive correlation.

200

In a scatter plot, the points lie close to a line.  As x increases, y decreases.  Describe the correlation.

Negative correlation.

300

In a scatter plot, the points show no pattern. Describe the correlation.  

No correlation.

400

Describe the correlation.

Amount of rainfall and number of people outside playing tennis.

Negative correlation

500

Describe the correlation.  

Number of candy bars eaten and amount of sugar consumed.  

Positive correlation. It's causal too!

Arithmetic Sequences

100

Write the next three terms in the arithmetic sequence.

6, 12, 18, 24, ...

30, 36, 42

200

Write the next three terms for the arithmetic sequence.

-9, -6, -3, 0, ...

3, 6, 9

300

Write an equation for the nth term of the arithmetic sequence.

6, 12, 18, 24, ...

a_n = 6 + 6(n -1)  or a_n = 6n

400

Write an equation for the nth term of the arithmetic sequence.

-9, -6, -3, 0, ...

a_n= -9 +3(n-1) or a_n = -12 + 3n

500

Find the 40th term of the arithmetic sequence below.

-9, -6, -3, 0, ...

108