matn set

.Find the slope of each line which contains each pair of points listed below.
(a) (0,0) and (8,4) (b) (10,5) and (6,78) (c) (2,-2) and (4,2)
(d) (0,3) and (-2,3) (e) (-2,0) and (0,6) (f) (15,6) and (-2,23)
(g) (-5,7) and (3,8) (h) (63,49) and (-7,9) (i) (5/2 ,4/3 ) and (-13/2 ,16/3 )
(j) (2a,3b) and (-a,b) (k) (5√2 ,6√3 ) and (√8, √12) (l) (0,n) and (n,0)
Find the slope of the lines passing through the points (0,0) and (8,4). (3 marks)

1. The vertices of a triangle ate the points A(-2,3), B( 5,-4) and C(1,8). Find the slope of each
   side and also the slope of median.
2. The vertices of parallelogram are the
   . M = {x/x is an integer , and -3<x<6} , N = the set of positive integers that are less than 8.
   Find M∩N. (3 marks)
3. A = {x/x is a positive integer that is divisible by 3}, B = {x/x is a positive integer that is
   divisible by 5. Find (a) A∩B (b) L.C.M of 3 and 5
4. J = {1,2,3,4,……} the set of positive integers and P = {x/x is a prime number} ,find J∩P.
   4.A = {x/x is a positive even integer }. B = { x/x is a prime number}. C = { x/x is a positive
   integer that is divisible by 3}. Find (a) A∩ (B∩C) and (A∩B) ∩C.
   Show that A∩ (B∩C)= (A ∩ B) ∩ C