Q1) Find the midpoint of the interval joining: a) (2 , 3) and (6 , 9) b) (4, 5) and (2, 1) c) (7, -3) and (0, 7) d) (-5, 2) and (9 , -4) e) (-6 , -1) and (5, 3) f) (1, -8) and (-4, -3)
Q2) Find the distance between the points: a) (4, 3) and (2,9) b) (6,1) and (-3, 5) c) (-1, 4) and (2, -8) d) (2, -3) and (-1, -4) e) (5, -8) and (-7, 2) f) (0,-3) and (8,0)
Q3) Find the gradient of the line passing through: a) (0,0) and (6,3) b) (5, 1) and (2,6) c) (-2,0) and (7, 1) d) (-4, 1) and (-2, -4) e) (6, -6) and (-1, 3) f) (8, -2) and (-5, 2)
Q4) Graph these lines: a) y= 2x +1 b) x=5 c) y=x d) y=3-x e) y=4x -5 f) y=-3
Q5) Find the gradient and y-intercept of the following lines, then sketch each line: a) y=5x -2 b) y=-2x + 3 c) y= 3 x -4 2 d) y=1 - 1 x 2 e) y=-x f) y= 1 - x 2 Q6) Write the following equations in the form y=mx+b and hence find the gradient and y-intercept of each one: a) 2x - y + 3 = 0 b) 4x + 2y -6 = 0 c) 3x - 3y +2 =0 d) x +5y = 0 e) 2x - 3y +1 = 0 f) x - 4y = 4
Q7) Find the equation of a straight line with: a) A gradient of 3 and passing through the point (4, 3) b) A gradient of -2 and passing through the point (2, 7) c) A gradient of 5 and passing through the point (-3, 5) d) A gradient of -0.5 and passing through the point (5, -2) e) A gradient of 2/3 and passing through the point (-4, 3)