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3.1 Linear Equations (Due 11/8/24)

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Last updated 10 months ago
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Essential Question: How can you relate rate of change and slope in linear relationships?


Learning Target: Students will be able to calculate both slope and rate of change involving real-world problems.

Complete the entire assignment and show work for full credit.

Day 1 11/5/24

Finding Slope



Tutorial Video

Question 1
1.

Guided Practice: Rates of Change

Question 2
2.

Question 3
3.

Finding Slope

What is the slope of this line?

Question 4
4.

What is the slope of this line?

Question 5
5.

What is the slope of this line?

Interpreting Slope

Question 6
6.

What is the slope of this line?

Question 7
7.

What does the slope of this from the previous problem represent?

Question 8
8.

What is the slope of this line?

Question 9
9.

What does the slope of this line represent?

Question 10
10.

Guided Practice

Find the slope of this line:

Question 11
11.

Find the slope of this line:

Question 12
12.

Find the slope of this line:

Question 13
13.

Find the slope of this line:

Question 14
14.
When ordering tickets online, an app charges a $25 handling fee no matter how many tickets you order from them. Tickets to a BTS concert cost $125 each.

What is the price for 1 ticket?
_______


What is the price for 2 tickets?
_______

What is the price for 3 tickets?
_______

What is happening every time you buy another ticket?
_______

If you had to graph a line showing the total cost, y, of buying x tickets, what would the slope be?
_______


Day 2 11/6/24

Slope-Intercept Form



Slope (m)

y-intercept (b)

Question 15
15.
The slope of a line is the ratio of __________ over __________. Another name for slope is __________.
Question 16
16.
The point where the line crosses the y-axis is called the __________ - __________.
Question 17
17.

Click on the y-intercept

Question 18
18.
Write the equation in slope intercept form with the given information:

y = m x + b
y=__________x __________
Question 19
19.
Write the equation in slope intercept form with the given information:

y = m x + b

y=__________x__________
Question 20
20.
Write the equation in slope intercept form with the given information:

y = m x + b

y=__________x__________
Question 21
21.
Write the equation in slope intercept form with the given information:

y = m x + b

y=_______ x_______
Question 22
22.
Write the equation in slope intercept form with the given information:

y = m x + b

y=_______ x_______
Question 23
23.

Click on the y-intercept

Question 24
24.

Match the equation with the correct slope and y-intercept

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Question 25
25.

Write the equation in slope intercept form with the given information:

Question 26
26.

Write the equation in slope intercept form with the given information:

Question 27
27.

Write the equation in slope intercept form with the given information:

Question 28
28.

Write the equation of this line in slope-intercept form. (10pts)

Question 29
29.

Write the equation of this line in slope-intercept form. (10pts)

Question 30
30.

Write the equation of this line in slope-intercept form. (10pts)

Question 31
31.

Write the equation of this line in slope-intercept form. (10pts)

Concept Review

Question 32
32.

What should I do FIRST to solve this problem?
3x + 5 = -16

Question 33
33.

Solve this equation

Question 34
34.

Solve this equation

Question 35
35.

Solve this equation

Day 3 11/7/24

Warm-up Problems

Question 36
36.

Given the slope and y-intercept of the line, write the equation
in slope-intercept form:

slope = 2/3; y-intercept = 1

Question 37
37.

Given the slope and y-intercept of the line, write the equation
in slope-intercept form:

slope = 3; y-intercept = -4

Question 38
38.

Given the slope and y-intercept of the line, write the equation
in slope-intercept form:

slope = -3/2; y-intercept = 7

Finding Slope Using the Slope Formula

Question 39
39.

Directions: Find the slope between each pair of points:

(5, 9) and (3, 9)


Question 40
40.

Directions: Find the slope between each pair of points:

(-7, 8) and (-7, 5)


Question 41
41.

Directions: Find the slope between each pair of points:

(-1, 9) and (2, 3)


Question 42
42.

Directions: Find the slope between each pair of points:

(-4, 13) and (6, -2)


Question 43
43.

Directions: Find the slope between each pair of points:

(5, 6) and (6, 5)


Question 44
44.

Directions: Find the slope between each pair of points:

(-5, 6) and (-6, 5)


Using Slope Intercept-Form to Graph

Question 45
45.

Directions: Graph each equation using slope intercept-form.

Question 46
46.

Directions: Graph each equation using slope intercept-form.

Question 47
47.

Directions: Graph each equation using slope intercept-form.

Question 48
48.

Directions: Graph each equation using slope intercept-form.

Question 49
49.

Directions: Graph each equation using slope intercept-form.

Day 4 11/8/24

Using Slope-Intercept Form

Question 50
50.

Directions:
1) Calculate the slope.
2) Use the two coordinates to create a graph of the line.
3) Use the graph to write an equation in slope intercept-form.


What is the equation of this line in slope intercept form:

Question 51
51.

Directions:
1) Calculate the slope.
2) Use the two coordinates to create a graph of the line.
3) Use the graph to write an equation in slope intercept-form.


What is the equation of this line in slope intercept form:

Question 52
52.

Directions:
1) Calculate the slope.
2) Use the two coordinates to create a graph of the line.
3) Use the graph to write an equation in slope intercept-form.


What is the equation of this line in slope intercept form:

Question 53
53.

Directions:
1) Calculate the slope.
2) Use the two coordinates to create a graph of the line.
3) Use the graph to write an equation in slope intercept-form.


What is the equation of this line in slope intercept form:

Question 54
54.

Directions:
1) Calculate the slope.
2) Use the two coordinates to create a graph of the line.
3) Use the graph to write an equation in slope intercept-form.


What is the equation of this line in slope intercept form: