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Algebra 1
5.1 – 5.2 Worksheet
Show all work!!
**** y = mx + b ****
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Write an equation of the line with the given slope and y-intercept. (no calc)
1. slope: 7; y-intercept: 4
2. slope: –3; y-intercept: 5
3. slope: 1; y-intercept: –6
Write an equation of the line shown. (no calc)
4.
5.
6.
Write an equation of the line in slope-intercept form through the given point and has slope m. (no calc)
7. (–1, 6); m = 5
8. (10, 3); m = –2
9. (5, –4); m = 15
10. (–8, 1); m = 
3
4
Write an equation of the line in slope-intercept form that passes through the given points. (no calc)
11. (–1, 0), (0, –2)
12. (0, 4), (6, 13)
13. (4, 5), (8, 2)
14. (–1, –9), (6, 5)
Write an equation in slope-intercept form for the linear function f with the given values.
15. f(0) = –1, f(3) = –10
16. f(–4) = 5, f(2) = 2
17. A landscape supply business charges $30 to deliver mulch. The mulch costs $23 per cubic yard.
a. Write an equation that gives the total cost C of having mulch m delivered to a site as a function of the number of
cubic yards ordered.
b. Identify the dependent and independent variables in this situation.
c.
Find the cost of having 8 cubic yards of mulch delivered to a site.
d. How many cubic yards of much can be delivered for $582?
18. Your school club is making cookies for an upcoming school dance. On the morning of the dance, your group makes 5
batches of dough that yield 7.5 dozen cookies. In the afternoon, your group makes 7 batches of dough that yield 10.5
dozen cookies.
a. Write an equation that gives the number of dozen cookies d as a function of the number of batches b made.
b. How many dozen cookies can be made from 12
batches of dough?
c.
If 12 cookies are in a dozen, how many cookies will
12 batches make?
19. Determine whether the three points lie on the same line. If the points do lie on the same line, write an equation of the
line that passes through the points. (Show all algebra work) (no calc)
(2, 2), (−4, 5), (8, −1)
20. A line passes through the points (−4, 6), (4, 8), and (16, n). Find the value of n. (Show all algebra work) (no calc)