Intermediate Algebra (11th edition)

(Marvins-Underground-K-12) #1
Solve each inequality. See Section 2.5.


  1. 2 x+ 569 102. -x+ 473 103. 5 - 3 xÚ 9 104. -x... 0


PREVIEW EXERCISES


174 CHAPTER 3 Graphs, Linear Equations, and Functions


96.Use the slope found in Exercise 95and one of the two points determined earlier,
and write an equation that gives Fin terms of C. (Hint:Use the point-slope form,
with Creplacing xand Freplacing y.)
97.To obtain another form of the formula, use the equation found in Exercise 96and
solve for Cin terms of F.
98.Use the equation from Exercise 96to find the Fahrenheit temperature when
99.Use the equation from Exercise 97to find the Celsius temperature when
100.For what temperature is (Use the photo on the previous page to confirm
your answer.)

F=C?


F=50.


C=30.


Find the slope of each line, if possible.























For each line described, write an equation of the line (a)in slope-intercept form and (b)in
standard form.
7.Through the points and
8.Through and parallel to the graph of
9.Through the origin and perpendicular to the graph of
10.Through and parallel to the graph of
11.Through and perpendicular to the graph of
12.Through with slope
13.Through and parallel to the line through and
14.Through and perpendicular to the line through and
15.Through the points and
16.Through with slope
17.Through and the midpoint of the segment with endpoints and
18.Concept Check Match the description in Column I with its equation in Column II.

III


(a)Slope A.
(b) x-intercept y-intercept B.
(c) Passes through and C.
(d) passes through D.
(e) m= 21 ,passes through the origin E. x= 2 y

m= 21 , 1 - 2, - 22 x+ 2 y= 4

1 4, - 22 1 0, 0 2 x- 2 y= 2

1 4, 0 2 , 1 0, 2 2 y=- 21 x- 2


  • 0.5,b=- 2 y=- 21 x


1 0, 3 2 1 2, 8 2 1 - 4, 12 2


2

1 - 3, 6 (^23)


1 4, - 82 1 - 4, 12 2


1 4, - 22 1 3, 7 2 1 5, 6 2


1 - 4, 2 2 1 3, 9 2 1 6, 11 2


1 4, - 22 - 3


A 43 , - 97 B x= 32

1 5, - 82 y= 4

2 x- 5 y= 6

1 - 2, 5 2 3 x-y= 4

1 - 2, 6 2 1 4, 1 2


5 x- 2 y= 4 x- 4 = 0 y=0.5

3 x+ 5 y= 9 4 x+ 7 y= 3 y= 2 x- 5

SUMMARY EXERCISES on Slopes and Equations of Lines

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