Slope & Rate of Change
What is the slope of the equation y = -8x + 12
What is m = -8?
What is the y-intercept of the line y=−3x+8?
What is (0,8)?
What is the y-intercept of the line y = 5x + 3?
What is (0,3)?
What is the common difference in the arithmetic sequence: 4, 7, 10, 13, …
What is d = 3?
A gym charges a $20 sign-up fee and $10 per month.
Write the linear function for the total cost C after m months.
What is C=10m+20?
Find the slope of the line that passes through the points (2, 5) and (6, 9).
What is m = 1?
Does the line with slope m = 0 increase, decrease, or stay constant as x increases?
What is constant?
Identify the y-intercept of the line shown by the equation y = −2x −7.
What is (0,-7)?
Write the next term in the sequence: 12, 9, 6, 3, …
What is 0?
A taxi charges $3 to start the ride and $2 for each mile.
How much will a 5-mile ride cost?
What is $13 ?
A sequence starts with 3 and increases by 5 each term.
What is f(n) = 5n−2 ?
Which graph has a steeper slope: y = 2x + 1 or y = −5x + 4?
What is y = −5x + 4?
A line passes through the point (0,−4). What is the y-intercept?
Write a linear function a(n) for the arithmetic sequence that starts at 5 and increases by 8 each term.
What is f(n) = 8n - 3 ?
A plant grows 4 cm per week. After 2 weeks it is 18 cm tall.
Write a linear equation representing height h after w weeks.
What is h=4w+10 ?
A taxi service charges a flat fee plus a cost per mile.
If a 4-mile ride costs $11 and a 10-mile ride costs $23.
What is y=2x+3 ?
A line passes through the point (0,−2) and has a slope of 3/4.
What is y = 3/4x − 2?
Find the y-intercept of the line that passes through the points (2,5) and (6,13).
What is (0,1)?
An arithmetic sequence has a1 = −2 and a5 = 14.
Find the common difference and the linear function a(n).
Common difference: d = 4
Function: a(n)=4n−6
The temperature at sunrise is 52°F and increases steadily to 70°F by noon.
Assuming linear change, find the equation for temperature TTT after hhh hours since sunrise.
What is T = 4.5h + 52 ?
Rewrite the linear equation 3x – 2y = 10 in slope-intercept form.
What is y= 3/2 x -5 ?
A line passes through the points (2,1) and (10,9).
Find the slope and write the equation of the line in slope-intercept form.
What is y = x − 1?
A linear function has slope m=−3/2.
It passes through the point (4,10).
Find the y-intercept.
What is (0,16)?
A linear function representing a sequence is
a(n)=7n+2.
What is the first term, and what is the common difference?
First term: a1 = 9
Common difference: d =7
A phone battery is 90% charged at 2:00 PM and 60% charged at 5:00 PM.
Assuming linear decrease, write a linear model for battery percent B(t) where t is hours after 2:00 PM.
B(t) = −10t + 90