Algebra 1 Common Core Student Edition, Grade 8-9

33. Think About a Plan A designer is creating a n ew logo, as show n at th e right.
    The designer w ants to ad d a line to th e logo th a t will be p erp en d icu lar to th e blue
    line a n d pass through th e red point. W hat equation represents th e n ew line?
    
    
    • W hat is the slope of th e blue line?
    
    
    • W hat is th e slope of th e n ew line?
    
    
    
    


34. Reasoning For w h at value of k are th e graphs of 12y = —3 x + 8 and
    6y = fcx - 5 parallel? For w h at value of k are they perp en d icu lar?


35. Agriculture Two farm ers use com bines to harvest corn from th eir fields.
    O ne farm er has 600 acres of corn, a n d th e o th er h as 1000 acres of corn. Each
    farm er's com bine can harvest 100 acres p e r day. W rite two eq u a tio n s for the
    number of acres y o f c o r n not h a r v e s t e d a f t e r x days. Are th e graphs of th e equations
    parallel, perpendicular, or neither? H o w d o y o u k n o w?

ft Challenge 36. Geometry In a rectangle, opposite sides are parallel a n d ad jacen t sides are

perpendicular. Figure ABCD h a s v e rtic e s A{—3,3), J 3 ( - l, - 2 ) , C(4, 0), an d D(2, 5).

Show that ABCD is a rectangle.

37. Geom etry A right triangle has two sides th a t are p erp en d icu lar to each other.
    Triangle PQR h a s v e rtic e s P(4, 3), Q(2, - 1 ) , an d R(0,1). Determine whether PQR is
    a right triangle. Explain your reasoning.

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St a n d a r d i ze d Test Pr ep

38. W hich e q u a tio n represents th e graph of a line parallel to th e line at th e right?
    CA>y = | x + 5 C D y = - 2 r + 4
    1

Short

Response

CJD y = 2 x - 6 CJD y =

39. W hat is th e solution of (5x - 1) + ( - 2 x + 7) = 9?
    CDf Cg) 1 CJD 3 CD 5


40. Sal's Superm arket sells cases of tw enty-four 12-oz bottles of w ater for $15.50.
    S h o p p er’s W orld sells 12-packs of 12-oz bottles of w ater for $8.15. W hich store has
    the better price per bottle? Explain.

Mixed Review

Graph each equation using x- and y-intercepts.

41.x + y = 8 42. 2x + y = —3

Get Read y! To p r e p a r e f o r Le sso n 5 - 7 , d o Ex e r c i se s 4 4 - 4 7.

Write an equation in slope-intercept form of the line that passes through the

given points.

44. (1,1), (3, 7)

See Lesson 5-5.

43. x — 3y = —6


44. (2, 5), (12, 1) 46. (0.5, 2), (4.5, 3)

See Lesson 5-3.

47. (13,20), (6, 60)

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PowerAlgebra.com [ Lesson 5 -6 P arallel and P e rp e n d ic u la r Lines^335