Co ordinate geometry assignment

SET A
  1. Find the slope of the line passing through the following points. A(3,4) and B(-2,-1).
  2. If A(6,1), B(0,-5), C(-8,-3)and D(-2,3) are the vertices of ⇳ABCD, Show that it is a parallelogram.
  3. The vertices of a triangle are P( 1, -1) , Q (-1, 1) and R (-3, -2). Find the slope of each side of ∆PQR.
  4. Find the value of k, if the given points are collinear. A(4,11)  B(2,5)   C(6,k).
  5. Find the value of k, if the slope of the line joining the points (2,10) and (k,4) is 3 / 4 .
Answers: (1) 1  (3) Slope of PQ = -1,   Slope of QR = 3/2,  Slope of PR = 1/4.   (4) k = 17   (5) k = - 6


SET B
  1. Find the slope and y - intercept of the line: 2y=3x-6
  2. Write the equation of the line if m = 2 and c = -5
  3. Write the equation of the given line in slope-intercept form. 4x-3y+2=0.
  4. If (10,5) is a point on the line 5x - 7y = c, find c.
  5. If (-3,-2) is a point on the line 3y = mx-9, find m.
Answers: (1) Slope  = 3/2,   y-intercept = -3    (2) y = 2x-5    (3) y = 4x3 +2/3     (4)  c = 15   (5)  m = -1