Homework PRECALCULUSTopic 1 MATH 1024

Problem 1 (page 7)Find the distance between the points P1 and P2.

21. P1=(3 ,−4 ) , P2=(5,4)23.P1=(−3,2 ) , P2=(6,0)

25.P1=( 4 ,−3 ) , P2=(6,4)

Find the midpoint of the line segment joining the points P1 and P2.

35.P1=(3 ,−4 ) , P2=(5,4)37.P1=(−3,2 ) , P2=(6,0)

39.P1=( 4 ,−3 ) , P2=(6,4)

Problem 2 (page 31)Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line.

45. Slope = 3; containing the point (−2 ,3)

47. Slope = −23

; containing the point ((1 ,−1)

49. Containing the points (1,3 ) and (−1 , 2)51. Slope = −3; y-intercept ¿353. x-intercept ¿2; y-intercept ¿−155. Slope undefined; containing the point (2 , 4)57. Horizontal; containing the point (−3 , 2)59. Parallel to the line y=2 x, containing the point (−1 , 2)61. Parallel to the line 2 x− y=−2; containing the point (0 , 0)63. Parallel to the line x=5; containing the point (4 , 2)

65. Perpendicular to the line y=12

x+4; containing the point (1 ,−2)

67. Perpendicular to the line 2 x+ y=2; containing the point (−3 , 0)69. Perpendicular to the line x=8, containing the point (3 , 4)

Find the slope and y-intercept of each line. Sketch the line.

Q71. y=2 x+3

Q73. 12

y=x−1Q75. y=

12

x+2

Q77. x+2 y=4

Problem 3 (Page 38)Write the standard form and the general form of the equation of each circle of radius r and center (h, k). Sketch each circle.

11. r=2; (h ,k )=(0 , 0)13. r=2; (h ,k )=(0 ,2)

15. r=5; (h , k )=(4 ,−3)17. r=4 ; (h , k )=(−2 ,1)

Find the center and the radius of each circle. Sketch each circle.21. x2+ y2=4

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Homework PRECALCULUSTopic 1 MATH 1024

23. 2 ( x−3 )2+2 y2=825. x2+ y2−2 x−4 y−4=027. x2+ y2+4 x−4 y−1=0

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