Algebra 2: Graphs of Equations, Inequalities, and Functions
Topic C 6: L inear F unctions | V ERSION B
Name: _ ___________________________________
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16. The equation −4 + = 6 is a linear
11. −3, 1 ; =
2
equation in standard form. From this
equation, answer the following:
a.
Find t he y a nd x -‐intercepts:
12. Find the equation of the line that passes through the
− intercept:
3
3
3
−
intercept:
two points −1,
and −
,
in standard form.
2
2
4
b.
Write t his e quation i n s lope-‐intercept f orm.
13. Find the equation of the line that passes through the
c.
Is ( 2, 4 ) a s olution t o t his e quation?
3
1
two points −1, −8 and
, −
in standard form.
2
2
17. Find the equation of the line perpendicular to the
graph of 3 + = −5 that contains the point (3,3).
14. Use two points on the line to find the equation of the
line, in standard form:
y
To p roduce a t extbook, s uppose t he p ublisher s pent
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$135,000 f or t ypesetting a nd $ 4.50 p er b ook f or p rinting
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and b inding. T he t otal c ost t o p roduce a nd p rint n b ooks
3
2
can b e w ritten a s = 135,000 + 4.5.
1
x
1
2
3
4
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18. Suppose the number of books printed in the first
printing was 10,000. What is the total cost?
The total cost is $
19. If the average cost is the total cost divided by the
15. The equation 2 − 3 = −7 is a linear
number of books printed, find the average cost of
equation in standard form. From this
producing 10,000 textbooks.
equation, answer the following:
a.
Find t he y a nd x -‐intercepts:
The average cost of producing 10,000 textbooks
−
intercept:
is $
−
intercept:
20. Find the cost to produce one more textbooks when
you have already produced 10,000 textbooks.
b.
Write t his e quation i n s lope-‐intercept f orm.
It will cost $ to produce one more book.
c.
Is ( 2, 4 ) a s olution t o t his e quation?
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