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
- II) (x+3)2 + (y–1)2 = 1
- III) (x–2)2 + (y+6)2 = 9
- IV) (x+1)2 + (y+3)2 = 25