Name _______________________________________ Date __________________ Class __________________
Point-Slope Form
Write an equation in POINT-SLOPE form for the line with the given slope
that contains the given point.
1. slope  3; (4, 2)
________________________________________
2. slope  1; (6, 1)
________________________________________
Graph the line described by each equation.
3. y + 2  
2
(x  6)
3
4. y + 3   2 (x  4)
Write the equation that describes the line in slope-intercept form.
5. slope  4; (1, 3) is on the line
________________________________________
7. (2, 1) and (0, 7) are on the line
________________________________________
6. slope 
1
; (8, 5) is on the line
2
________________________________________
8. (6, 6) and (2, 2) are on the line
________________________________________
Find the intercepts of the line that contains each pair of points.
9. (1, 4) and (6, 10) __________________
10. (3, 4) and (6, 16) __________________
11. The cost of internet access at a cafe is a function of time.
The costs for 8, 25, and 40 minutes are shown. Write an equation
in slope-intercept form that represents the function. Then find the
cost of surfing the web at the cafe for one hour.
Time (min)
________________________________________
Cost ($)
8
25
40
4.36
7.25
9.80
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2
Name _______________________________________ Date __________________ Class __________________
Write the equation that describes each line in SLOPE-INTERCEPT form.
3
12.slope   ; y-intercept  1
2
13. slope  3, (3, 4) is on the line.
________________________________________
________________________________________
4
15. slope   ; (7, 8) is on the line.
7
14. slope  0; y-intercept  8
________________________________________
________________________________________
16. The line that passes through (1, 5) and
(4, 4). (Hint: Find the slope first.) _____________________________
Write each equation in SLOPE-INTERCEPT form. Then graph the line
described by the equation.
17. y  2  3x
________________________
18. x  y  2
________________________
19. 2y  3x  4
________________________
20. 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 as a function of
area is shown in the graph.
a. Write an equation that represents the total price as
a function of area. __________________________________
b. Identify the slope and y-intercept and describe their
meanings. __________________________________________
____________________________________________________
c. Find the total cost if the area is 375 square feet.
____________________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2
Name _______________________________________ Date __________________ Class __________________
Practice B
Point-Slope Form
Write an equation in point-slope form for the line with the given slope
that contains the given point.
1. slope  3; (4, 2)
2. slope  1; (6, 1)
y – 2  3(x  4)
y  1  –(x – 6)
Graph the line described by each equation.
3. y + 2  
2
(x  6)
3
4. y + 3   2 (x  4)
Write the equation that describes the line in slope-intercept form.
5. slope  4; (1, 3) is on the line
y  –4x  1
6. slope 
y
7. (2, 1) and (0, 7) are on the line
y  4x – 7
1
; (8, 5) is on the line
2
1
x–1
2
8. (6, 6) and (2, 2) are on the line
y
1
x–3
2
Find the intercepts of the line that contains each pair of points.
9. (1, 4) and (6, 10) x-int:
1, y-int: –2
10. (3, 4) and (6, 16) x-int:6,
11. The cost of internet access at a cafe is a function of time.
The costs for 8, 25, and 40 minutes are shown. Write an equation
in slope-intercept form that represents the function. Then find the
cost of surfing the web at the cafe for one hour.
Time (min)
y  0.17x  3; $13.20
Cost ($)
y-int: 8
8
25
40
4.36
7.25
9.80
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Algebra 2