in #edu3 years ago

Chapter 2
Exercise 2.1
1.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 points R(1,4), S(3,2), T(4,6), V(2,8). Find the slope of
    eache slope of each side of the quadrilateral whose vertices are A(5,6), B(13,6),
    C(11,2). Can you tell what kind of quadrilateral it is?
  3. A quadrilateral has as vertices the points M(a,b), N(c,d), Q(c+d,e), P(a+d,e). Find the slope
    of each side.
  4. C is the mid-point of AB, A if the point (-3,-2), and B is the point (2,8).
    What is the slope of BC?
  5. Given the points D(-4,6), E(1,1), F(4,6), find the slopes of DE and EF. Are D,E and F
    collinear ? Why?