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Mathematics 4 ESO – Unit 10 ANALYTIC GEOMETRY page 117 activity 81

a)  Watch the video on “Review of Analytic Geometry” and answer:

  • I)  What type of lines have the same slope but different y-intercept? Why?
  • II)  Use the “midpoint formula” to find the midpoint of P1 (6,7) and P2 (2, –4)
  • III)  Use the “midpoint formula” to find the midpoint of P1 (–1,3) and P2 (–5,0)
  • IV)  Use the “distance formula” to find the distance between points P1 (4,2) and P2 (8,5)
  • V)  Use the “distance formula” to find the distance between points P1 (0,1) and P2 (–4,6)
  • VI)  Use the “distance formula” to find the distance between points P1 (0,-8) and P2 (9,0)

b) Watch the video on “Equation of Circle” and represent graphically these equations:

  • I)  (x+2)2 + (y–3)2 = 16  5  7
  • II)  (x+3)2 + (y–1)2 = 1
  • III)  (x–2)2 + (y+6)2 = 9
  • IV)  (x+1)2 + (y+3)2 = 25