4.4.28 Graphing-Equations of Lines-Slope Interecpt ...

1 Graphing-Equations of Lines-Slope InterecptMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the an appropriate )What is the equation of a vertical line through (-2, 5)?1)A)x =-2B)y =5C)x =5D)y =-22)What is the equation of a horizontal line through (0, -1)?2)A)y = 0B)x = 0C)y =-1D)x =-13)Given two points (x1, y1) and (x2, y2), where x1Jx2, what is the formula for the slope of theline connecting the two points?3)A)m =y2+y1x2+x1B)m =y2-y1x2-x1C)m =y2-y1x1-x2D)m =x2-x1y2-y1 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the )y = xy =-xy =-5xGraph the set of equations on the same grid.

2 Compare the slopes, y-intercepts, andtheir effects on the )MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the )Given the slopes of three lines, m1= 2, m2= 5, m3=-4, which line would you say is thesteepest? Why?5)A)The line with a slope of 5 is the steepest, because the absolute value of 5 is larger than theabsolute values of 2 and )The line with a slope of -4 is the steepest, because the absolute value of -4 is morenegative than the absolute values of 2 and )The line with a slope of -4 is the steepest, because -4 is more negative than 2 and )The line with a slope of 2 is the steepest, because the absolute value of 2 is smaller thanthe absolute values of 5 and )What is the relationship between the slopes of two parallel lines?

3 6)A)There is no general relationship, because the y-intercepts can be )One slope is the negative of the )They are )One slope is the reciprocal of the ANSWER. Write the word or phrase that best completes each statement or answers the )y =-xy =-x +5y =-x -5 Graph the set of equations on the same grid. Compare the slopes, y-intercepts, andtheir effects on the ) Graphing-Equations of Lines-Slope InterecptMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the the slope and the y-intercept. Then graph the )3x - 5y =298)A)m =35; y-intercept: 0, -295B)m =53; y-intercept: 0, -195C)m =-35; y-intercept: 0, -195D)m =-35; y-intercept: 0, -29529)y =-12x - 59)A)m =-12; y-intercept: (0, 5)B)m =-12; y-intercept: (0, -5)C)m =12; y-intercept: (0, 5)D)m =12; y-intercept: (0, -5)310)x + y =-310)A)m = 1; y-intercept: (0, 3)B)m =-1; y-intercept: (0, 3)C)m =-1; y-intercept: (0, -3)D)m = 1; y-intercept: (0, -3)411)3x + 4y =2511)A)m =34; y-intercept: 0, 174B)m =43; y-intercept: 0, 174C)m =-34; y-intercept: 0, 254D)m =34.

4 Y-intercept: 0, 254512)y =2x -512)A)m =5, y-intercept: (0, 2)B)m =2, y-intercept: (0, -5)C)m =5, y-intercept: (0, 2)D)m =2, y-intercept: (0, 5)613)y =-4x +513)A)m =-4, y-intercept: (0, 5)B)m =5, y-intercept: (0, -4)C)m =5, y-intercept: (0, -4)D)m =-4, y-intercept: (0, 5)714)5x - 2y +7= 014)A)m =-52; y-intercept: (0, -72)B)m =-52; y-intercept: (0, 72)C)m =52; y-intercept: (0, -72)D)m =52; y-intercept: (0, 72)815)-5y =-3x - 1915)A)m =53; y-intercept: 0, 95B)m =-35; y-intercept: 0, 95C)m =-35; y-intercept: 0, 195D)m =35; y-intercept: 0, 195916)4x - 5y =-3616)A)m =45; y-intercept: 0, 365B)m =-45; y-intercept: 0, 265C)m =-45; y-intercept: 0, 365D)m =-54.

5 Y-intercept: 0, 26510 Find the slope of the )17)A)13B)-3C)-13D)318)18)A)-9B)1C)-5D)- 119)19)A)UndefinedB)32C)0D)31120)20)A)-6 B)1C)6D)-121)21)A)-2B)2C)12D)-1222)22)A) 3B)0C)12D)Undefined12 Find the slope of the line through the given )(-3, -5), (-4, -2)23)A)-13B)310C)3D)- 324)(8, -2), (8, -8)24)A)-6B)611C)0D)Undefined25)(3, 2), (-1, 2)25)A)0B)1C)3D)Undefined26)(-3, -3), (2, 4)26)A)-75B)710C)57D)7527)(7, -5), (-2, -7)27)A)513B)135C)29D)0 Find the )28)A)(0, 0)B)(0, 4)C)(0, -4)D)No y-intercept1329)29)A)(0, 0)B)No y-interceptC)(0, 4)D)(4, 0)30)30)A)(0, -2)B)(0, 3)C)(0, 2)D)(0, -3)31)31)A)(0, -4)B)(0, 4)C)(2, 0)D)(-2, 0)1432)32)A)(0, 0)B)(6, 0)C)

6 (0, 6)D)No y-intercept33)33)A)(-3, 0)B)(3, 0)C)(0, 3)D)(0, -3)34)34)A)(0, 8)B)(0, -4)C)(0, -8)D)(0, 4)1535)35)A)(1, 0)B)(0, 1)C)(0, -1)D)(0, 0)Match the equation with the appropriate )y =-2x - 536)A)B)C)D)1637)y =5x + 637)A)B)C)D)1738)x =-y38)A)B)C)D)1839)y =5x - 439)A)B)C)D)1940)2x - 4y =-940)A)B)C)D)2041)y =-141)A)B)C)D)2142)y =-5x + 442)A)B)C)D)Solve the )A ladder is resting against a wall. The foot of the ladder is 5 feet from the wall, and the top ofthe ladder is 16 feet from the ground. Find the slope of the )A)16B)5C)516D)1652244)Let x =28 and y =7. Find the pitch of the )A)13B)12C)14D)1645)A hill on a hiking trail goes up 69 feet over a distance of 138 feet.

7 Find the grade of the )A)2B)138C)12D)6946)Kannanaski Rapids drops 62 ft over a horizontal distance of 837 ft. Find the slope ofKannanaski Rapids. Round your answer as )A) )-62C) ) )A children's slide rises 10 feet over a horizontal distance of 9 feet. Find the slope of the )A)9B)109C)910D)10 Write the equation of the line in slope -intercept )48)A)y =-7x - 7B)y =-37x - 3C)y =-73x - 7D)y =-x - 32349)49)A)y = x +6B)y =- x -6C)y =- x +6D)y = x -650)50)A)y = x +3B)y = x -3C)y =- x -3D)y =- x +351)51)A)y =7x + 7B)y = x + 2C)y =-27x + 2D)y =-72x + 72452)52)A)y =-4B)x =-4C)y =4D)x =453)53)A)y =32x + 3B)y = x + 3C)y =-2x - 2D)y =23x - 2 Write the equation of the line in slope -intercept form given the slope and the coordinates of the )m =-2; (0, -8)54)A)y =-2x +8B)y =-2x -8C)y =-8x -2D)y =2x -855)m =-27; (0, -7)55)A)y =7x -27B)y =-27xC)y =-7x -27D)y =-27x -756)m =-4.

8 (0, 7)56)A)y =4x - 7B)y =-4x - 7C)y =-4x + 7D)y =4x + 757)m =56; 0, -5757)A)y =-56x +57B)y =56xC)y =56x -57D)y =-56x -572558)m =2; (0, -4)58)A)y =-4x +2B)y =-2x +4C)y =4x -2D)y =2x -459)m =-35; 0, 5759)A)y =35x -57B)y =-35xC)y =35x +57D)y =-35x +5760)m =-16; (0, 2)60)A)y =2xB)y =16x + 2C)y =2x -16D)y =-16x + 261)m = ; (0, )61)A)y = - )y = + )y = + )y = )m = ; (0, )62)A)y = - )y = + )y = - )y = )m =-2; (0, 0)63)A)y = 0B)y =-2xC)y =2xD)y =-2x + 126 Answer KeyTestname: graphing EQUATIONS OF Lines-Slope INTERCEPT1)A2)C3)B4)Answers may vary. One possibility:y =-5x y = x y =-xFor y = x, the slope is 1; for y =-x, the slope is -1; for y =-5x, the slope is -5.

9 The first two lines are equally third line is steeper, since the absolute value of its slope is greater than the absolute value of the slope ofeither of the other lines. Since the first line has a positive slope , it goes uphill from left to right. Since the othertwo lines have a negative slope , they go downhill from left to right. The y-intercept of all three lines is the origin,(0, 0).5)A6)C7)Answers may vary. One possibility:Line A: y =-x +5 Line B: y =-xLine C: y =-x -5 For all three lines, the slope is -1. Thus, they are parallel and do not intersect. In addition, they all slope downhillfrom left to right. The y-intercept of y =-x is (0, 0), the y-intercept of y =-x +5 is (0, 5), and the y-intercept of y =-x -5 is (0, -5).

10 The graph of y =-x +5 looks like the graph of y =-x shifted up 5 units. The graph ofy =-x -5 looks like the graph of y =-x shifted down 5 KeyTestname: graphing EQUATIONS OF Lines-Slope INTERCEPT8)A9)B10)C11)C12)B13)D14)D15)D1 6)A17)A18)B19)A20)D21)B22)B23)D24)D25)A2 6)D27)C28)A29)B30)A31)B32)C33)C34)D35)B3 6)D37)D38)B39)D40)D41)B42)B43)D44)C45)C4 6)C47)B48)B49)C50)B51)C52)B53)A54)B55)D2 8 Answer KeyTestname: graphing EQUATIONS OF Lines-Slope INTERCEPT56)C57)C58)D59)D60)D61)B62)A63) B29