Apps. and Interpretation for IBDP Maths Ebook 1 | Page 106

Your Practice Set – Applications and Interpretation for IBDP Mathematics Exercise 29 1. A straight line L passes through the points (10, 6) and (20,11) . (a) Find the equation of L , giving the answer in general form. L cuts the x -axis and the y -axis at A and B respectively. [3] (b) Write down the x -intercept and the y -intercept of L . (c) Hence, write down the coordinates of the midpoint of AB . [2] [1] 2. A straight line L passes through the points ( �4, � 8) and (2, � 26) . (a) Find the equation of L , giving the answer in general form. (b) Write down the x -intercept and the y -intercept of L . (c) Write down the slope of the straight line passing through ( �4, � 8) and perpendicular to L . [3] [2] [1] 3. A straight line L 1 passes through the points (5,1) and (17, 37) . (a) Find the equation of L 1 , giving the answer in general form. [3] (b) The equation of another straight line, L 2 , is given as 3x� y�100 � 0 . Find the geometric relationship between L 1 and L 2 . 4. A straight line L 1 passes through the points ( � 4, 0) and (4, 40) . [2] (a) Find the equation of L 1 , giving the answer in general form. [3] (b) The equation of another straight line, L 2 , is given as x�5y�150 � 0. Find the geometric relationship between L 1 and L 2 . [2] 96 SE Production Limited