1. Solving Word Problems by Writing Equations in Slope-Intercept Form
MS Algebra A-F-IF-7 – Ch. 6.1c Solving Word Problems by Writing Equations in Slope-Intercept Form
ALGEBRA SUPPORT
Solving Word Problems by Writing Equations in Slope-Intercept Form
A 3,000 lb. mass is approaching your head at 40 ft/sec.

2. SUPPORT Class Learning Target
Title: 6.1c Solve Word Problems with the Slope-Intercept Form
Date:
SUPPORT Class Learning Target
By the end of the period, I will solve word problems by writing and solving equations in slope-intercept form.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 6.1 Pg ) Section ______
TxtBk.Prob. #42,43,44,45,47,49 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. HW # 42
Describe the starting value and the rate of change for the situation.
y = mx + b
A car rental company charges a membership fee of $40 plus $10 per hour for renting a car.

5. HW # 43
Describe the starting value and the rate of change for the situation.
y = mx + b
A cell phone plan cost $37.80 per month. The plan requires an activation fee of $25.

6. HW # 44
Describe the starting value and the rate of change for the situation.
y = mx + b
You need an initial deposit of $50 to open a savings account. You deposit $150 each month in this account.

7. HW # 45
Web Server
Solve a multi-step problem
The initial fee to have a website set up using a server is $48. It costs $44 per month to maintain the website.
Write an equation that gives the total cost of setting up and maintaining a website as a function of the number of months it is maintained.
Find the total cost of setting up and maintaining the website for 6 months.
y = mx + b

8. A) C = 2.5T + 30 B) C = 30T + 2.5 C) C = 30T – 2.5 D) C = 2.5T – 30
HW # 47
Multiple Choice
Your family spends $30 for tickets to an aquarium and $2.50 per hour for parking. Which equation gives the total cost C (in dollars) of your family’s visit to the aquarium as a function of time T (in hours) that you are there?
A) C = 2.5T + 30
B) C = 30T + 2.5
C) C = 30T – 2.5
D) C = 2.5T – 30

9. Scoop Fly Drop
HW # 49
Lake  Fire
0.7 min/mile
Firefighting
0.2 min
1.8 min
The diagram shows the time a firefighting aircraft takes to scoop water (0.2 min) from a lake, fly (0.7 min/mile) to a fire, and drop the water (1.8 min) on the fire.
Write an equation that gives the total time (in minutes) that the aircraft takes to scoop, fly, and drop as a function of the distance (in miles) flown from the lake to the fire.
Find the total time the aircraft takes to scoop, fly and drop if it travels 20 miles from the lake to the fire.
y = mx + b

10. Vocabulary Check y-intercept slope slope-intercept form standard form
conditional statement
parallel
In the equation y = mx + b, the value of m is the _____________ of the graph of the equation.
In the equation y = mx + b, the value of b is the _____________ of the graph of the equation. 3.
Two lines are _________________ if their slopes are equal.

11. (4, 5) and (2, 3) (0, 0) and (-1, 2) Skills Check #1
Find the slope of the line that passes through the points.
(4, 5) and (2, 3)
(0, 0) and (-1, 2)

12. 6 – 4 3 x = y 5 2 = y – x Skills Check #2
Identify the slope (m) and y-intercept (b) of the line with the given equation. 6 – 4 3 x = y 5 2 = y – x

13. Storm Check (Think, Write, Discuss, Report)
If you are given two points, how can you create a linear equation that is in slope-intercept form?
(2-3 sentences)
When given two points, I can create a linear
equation in slope-intercept form by _______________
_______________________________________________
______________________________________________
______________________________________________.

14. Slope-Intercept Form of a Linear Equation
How To Get To Slope-Intercept Form
Notes:
Given
Two
Points x y X1 Y1 X2 Y2
Step 1) Make a table
Use the two points to calculate SLOPE (m)
Y2 – Y1
m =
X2 – X1
Step 2) Plug m and one point into y = mx + b
Solve for b
(Y1) = m(X1) + b
Step 3) Write general formula with m and b
y = mx + b
m = slope
b = y-intercept
Slope-Intercept Form of a Linear Equation

15. Vocabulary
Slope
y-intercept
Slope-Intercept Form
Point-Slope Form

16. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

17. Title: 6.1c Solve Word Problems with the Slope-Intercept Form
Date:
Learning Target
By the end of the period, I will solve word problems by writing and solving equations in slope-intercept form.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.