Name: ______________________________________________
Date: __________________
Period: _____
Assignment 38: Slope-Intercept Form Extension
1. What is slope-intercept form? (write the equation) _________________
2. What letter is used for slope? _____
3. What letter is used for the y-intercept? _____
For numbers 4-11: Identify the slope and y-intercept for each linear equation.
1
4. 𝑦 = 4𝑥 − 8
5. 𝑦 = −𝑥 + 7
6. 𝑦 = 𝑥
7. 𝑦 = −2
Slope:
m:
Slope:
m:
y-int:
b:
y-int:
b:
8. 𝑦 = −3 + 2𝑥
9. −3𝑥 − 9 = 𝑦
10. 𝑦 = 𝑥
11. 5 − 𝑥 = 𝑦
m:
Slope:
m:
Slope:
b:
y-int:
b:
y-int:
3
For numbers 12-18: Write the equation for the line with the given slope and intercept.
12. Slope:
3
2
y-int: 5
Equation:
15. Slope: 1
13. Slope: 2
y-int: 0
Equation:
y-int: 0
Equation:
18. Slope: undefined
y-int: 6
Equation:
int: (0, 2)
16. Slope: 0
Equation:
int: (−4, 0)
14. Slope: −1
17. Slope: −
1
2
y-int: −3
Equation:
Equation:
19. Write the equation for a line that has a slope of 0 and goes through the point (4, −3).
Equation:
20. Write the equation for a line that has an undefined slope and goes through the point (2, 1).
Equation:
21. A school orders 25 desks for each classroom, plus an extra 30 spare desks. The total number of desks
ordered is a function of the number of classrooms. [word problem from Holt Teacher Resources]
a. Write an equation in slope-intercept form to represent this situation. ____________________
b. What is the value of the slope? _____
What is the value of the y-intercept? _____
c. What does the slope represent? the number of spare desks OR the number of desks per classroom
d. What does the y-intercept represent? the number of spare desks OR the number of desks per room
e. What does x represent? ____________________
What does y represent? ____________________
22. Daniel works as a volunteer in a homeless shelter. So far, he has worked 22 hours, and from now on he
plans to continue working there 3 hours per week. The total number of hours he works is a function of
time in weeks. [word problem from Holt Teacher Resources]
a. Write an equation in slope-intercept form that Daniel could use to calculate the total number of hours
he has volunteered at the shelter. Equation:
b. What does y represent? ____________________
What does x represent? ____________________
c. What does the previously recorded number of hours he has worked (22) represent?
the slope OR the y-intercept
d. What does the number of hours he works per week represent? the slope OR the y-intercept
23. The Johnsons are putting new carpet in their home. Installation is $300 and the carpeting costs $4 per
square foot. The total price of the job is a function of the area of the space they wish to cover with carpet.
[word problem from Holt Teacher Resources]
a. The cost per square foot represents the slope or the y-intercept? _____________________
b. The cost of the installation represents the slope or the y-intercept? _____________________
c. Write an equation that represents the total price as a function of area. _________________________
d. What is the value of the y-intercept? _____
What is the value of the slope? _____
e. What does y represent? ____________________
What does x represent? ____________________
For numbers 24-27: Write the equation for each line graphed below in slope-intercept form.
Hint – you will need to figure out the slope and intercepts for each graph.
24.
25.
Equation:
Equation:
26.
27.
Equation:
Equation:
Please check your answers for this assignment before turning it in or submitting it online.