Rate of Change
I have the base equation, y=mx+b. Which variable represents rate of change?
What is m?
The variable m is known as the slope, which also stands for the rate of change.
Write an equation with slope 2 and y-intercept 5.
what is y = 2x + 5?
What is domain?
what is your input/all x values?
What is the common difference of 2, 5, 8, 11...?
A line passes through (1, 4) and (3, 8). Find the rate of change.
what is 2?
8-4/3-1=4/2=2
A line rises 15 units and runs 5 units. What is the slope?
What is 3?
15/5 is simplified to 3.
Identify the slope and y-intercept of y = -3x + 4.
what is m = -3, b = 4?
What is range?
what is your outputs/all y values?
Explain what the common difference represents.
what is the amount added or subtracted each time?
A line has a slope of 3 and passes through (0, -2). Write the equation in slope-intercept form.
what is y=3x−2 ?
Find the slope between (-2,1) and (2,9).
What is 2?
m = 2
6-2/3-1 = 4/2, which can be simplified to 2.
Write the equation of a line with slope -2 and y-intercept -1.
What is y=-2x-1?
Determine the domain of {(1,4),(2,7),(3,10)}.
what is 1,2, and 3?
In a sequence of numbers, what does a1 represent?
what is the first term in the sequence?
An arithmetic sequence begins 7, 11, 15, 19... Find the common difference and identify the a8 for this sequence.
what is
the common difference is d=4,
a8=35?
Find the slope between (-5,1) and (-10,10).
What is -3/5?
10-1/-10-5 = 9/-15= -3/5
Explain what the y-intercept represents.
what is where the graph crosses the y-axis?
Determine the range of {(1,7),(2,12),(3,17)}.
what is 7,12, and 17?
Find the next term: -4, 1, 6, 11...
what is 16?
A line has a slope of 2 and a y-intercept of 3.
Write the equation in slope-intercept form, find the value of y when x = 4, and give the rate of change.
y=2x+3
Substitute x=4
y=2(4)+3
y=11
3. Rate of Change = 2
A streaming service had 120 subscribers in January. Each month, the service gained 25 new subscribers.
what is?
1. m=25
2. y=25x+120
3. y=245
y=25(5) + 120= 245
4. The number of subscribers increases by 25 each month.
Graphing question: What point is always plotted first in slope-intercept form?
what is the y-intercept
A line extends forever in both directions. How would I describe the domain?
what is set of all real numbers?
This is my sequence of numbers:
50, 45, 40, 35...
Find a12 for this sequence.
what is 105?
I have four ordered pairs from a graph: (1,4), (2,7), (3,10), and (4,13).
what is?
1. the rate of change is 3
2. y=3x+1
3. The domain is: 1,2,3,4
4. The range is: 4,7,10,13
5. Discrete
Because only specific points are given rather than all values between them.