Download Skill #17: Modeling Linear Functions from Data and Word

Algebra 1
Name______________________
CW#9: Skills Practice #16-19
Skill #16: Finding the Equation of a Line using a Line that is Parallel or Perpendicular to that Line
1. Write the equation of the line PARALLEL to y = 3x + 2
that passes through the point (3, 7) :
2. Write the equation of the line PERPENDICULAR to
Equation:____________________________
Equation:______________________________
3. Write the equation of the line PARALLEL to y = 2x - 3
that passes through the point (2, 5) :
4. Write the equation of the line PERPENDICULAR to
Equation:____________________________
Equation:____________________________
5. Write the equation of the line PARALLEL to y = -2x -1
that passes through the point (5, 4) :
6. Write the equation of the line PERPENDICULAR to
Equation:___________________________
1
y = x - 2 that passes through the point (4, 5) :
5
3
y = x +1that passes through the point (9, 3) :
5
2
y = - x - 5that passes through the point (8, 3) :
3
Equation:___________________________
Skill #17: Modeling Linear Functions from Data and Word-Problems
1. Write an equation that describes the following scenario:
Claire opens a bank account with $150. Every month, she
saves $25.
2. What is the slope of the line?
m=_________________
2. Use the x and y values from the table below to write the
equation of the line that passes through all of the points:
X
-6
4
14
Y
8
38
68
a) Find the slope of the line:
3. What is the y-intercept of the line?
b=__________________
What is the equation of the line?
b) Write the equation of the line in point-slope form
y  y1  m( x  x1 ) and then change the equation
to slope-intercept form
y  mx  b
Equation:_____________________________
Equation:___________________________________
3. Write an equation that describes the following scenario:
4. Use the x and y values from the table below to write the
equation of the line that passes through all of the points:
Alex opens a bank account with $60. Every month, she
saves $20.
What is the slope of the line?
X
-10
-4
8
Y
6
15
33
m=_________________
What is the y-intercept of the line?
a) Find the slope of the line:
b=__________________
What is the equation of the line?
b) Write the equation of the line in point-slope form
y  y1  m( x  x1 ) and change the equation to
slope-intercept form
y  mx  b
Equation:_____________________________
Equation:___________________________________
Skill #18: Identifying Key Features of a Linear Model
Answer the following questions about the graph below:
1. What is the slope of the line?
m=__________
2. What is the y-intercept of the line?
(
,
)
3. What does the y-intercept mean in the
context of the graph?
4. What is the equation of the line?
5. Solve the equation to find the x-intercept:
Answer the following questions about the graph below:
6. What is the slope of the line?
m=__________
7. What is the y-intercept of the line?
(
,
)
8. What does the y-intercept mean in the
context of the graph?
9. What is the equation of the line?
10. Solve the equation to find the x-intercept:
Skill #19: Linear Word Problems
1. Liam is saving money to buy a new bike that costs $1430. His grandmother gives him $50 for his birthday, and
he plans to save $60 per week until he has enough money to buy the bike. How many weeks will it take him to
save enough money?
2. Allison is saving money to buy a new bike that costs $1500. Her grandmother gives her $60 for her birthday, and
she plans to save $40 per week until she has enough money to buy the bike. How many weeks will it take her to
save enough money?
3. Chris is saving money to buy a new bike that costs $900. His grandmother gives him $50 for his birthday, and he
plans to save $25 per week until he has enough money to buy the bike. How many weeks will it take him to
have enough money?