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Name
Class
2-4
Date
Practice
Form K
More About Linear Equations
Write an equation of each line.
2
; through (3, 7)
3
1. slope 6; through (0, 4)
2. slope
3. slope 5; through (9, 1)
4. slope 0; through (3, 5)
Write in point-slope form an equation of the line through each pair of points. To
start, substitute values for (x1, y1) and (x2, y2) into the slope formula.
5. (2, 7) and (4, 1)
m
6. (5, 0) and (3, 3)
3
4
7.  ,
5
 7 3
 and  – , 
2
 8 2
y2 - y1
1-7
=
x2 - x1
-4 - 2
Write an equation of each line in standard form with integer coefficients. To start, multiply
each side by the least common denominator of all fractional coefficients.
3
x–4
5
3

5( y)  5  x – 4 
5

8. y =
9. y = –
11. Reasoning The line y + 4 =
4
5
x+
3
6
10. y = –x + 8
3
(x  8) contains point (a, 2). Find a. Show your
4
work.
Prentice Hall Foundations Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
35
Name
2-4
Class
Date
Practice (continued)
Form K
More About Linear Equations
Find the intercepts and graph each line.
12. 4x + 5y = 20
13. 2x + y = 6
14. 6x  8y = 24
15. Rosa must read 20 pages of a book for English class. It will take Rosa about 50 minutes to
complete her reading. Draw a graph and write an equation to represent the situation.
16. According to the information in Exercise 15, how long will it take Rosa to read 30 pages?
Write an equation in slope-intercept form for each line.
17. the line parallel to y = 4x  1 through (2, 7)
1
3
18. the line perpendicular to y   x + 5 through (6, 3)
Prentice Hall Foundations Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
36