Homework 1 Straight Lines Give answers to 2 decimal places Your Score: Q1 Line l1 passes through the points A = ( -4, 12 ) and B = ( 3, -2 ). a) Find the gradient of l1 m = b) Find the equation of l1 in the form y = m x + c. y = x  + Line l2 is perpendicular to l1 and passes through B. c) Give the equation of line l2 in the form a x + b y + c = 0 where a > 0, b and c are integers without common factors. a = b = c = Q2 The triangle ABC has vertices as follows: A = (-2, -8) B = (4, 4) C = (-4, 8) Calculate: a) The gradient of AB b) The gradient of BC c) The length of AB (2 d.p.) d) The length of BC (2.d.p.) e) Area of the triangle (nearest whole number) Q3 Line l1 passes through the points A = ( -5, -2 ) and B = ( 8, 3 ). a) Give the equation of line l1 in the form a x + b y + c = 0 where a > 0, b and c are integers without common factors. a = b = c = b) Line l2 is perpendicular to l1 and passes through ( -4, 6 ). Find the equation of this new line: y = x  + c) Find the point of intersection of these two lines. Give x to 2 d.p. Use your rounded answer to x when working out y. x = y = Q4) Line l1 is given by the equation y = 5x - 3. Line l2 is perpendicular to l1 and passes through P = (7, -8). a) Write down the gradient of l2 b) Hence find the equation of l2. y = x  + c) l1 and l2 cross the x axis at the points A and B respectively: x y x y A = B = d) Calculate the length of the line PB, answer to 2 d.p. length PB = Q5) Line l1 passes through the points A = ( -4, 6 ) and B = ( 7, -4 ). a) Give the equation of line l1 in the form a x + b y + c = 0 where a > 0, b and c are integers without common factors. a = b = c = b) M is the midpoint of AB and l2 is perpendicular to AB and passes through M. Give the equation of line l2 in the form a x + b y + c = 0 where a > 0, b and c are integers without common factors. a = b = c =