Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level81 Perpendicular Lines1) a) What is the gradient of a line parallel to y = 3x?b) What is the gradient of a line perpendicular to y = 3x?c) Which of the following equations represent lines perpendicular to the line y = 3x?(i) yxxx= 4 – -- (ii) y – 3x = 2 (iii) y = – -- + 7 (iv) y + --333= 6(v) y = – 3x – 1 (vi) 3y – 9x = 7(vii) 3y+ x = 92)yThe diagram shows two straight lines A and B.Line A goes through points (0,0) and (6,6).BAa) What is the equation of line A in the formy = mx + c?Line B is perpendicular to line A.(6,6)Lines A and B meet at (6,6).b) What is the equation of line B?x3)yBAThe diagram shows two straight lines A and B.Line A cuts the y axis at (0,2) and meets line Bat point (4,4).a) What is the equation of line A in the formy = mx + c?Line B is perpendicular to line A.b) What is the gradient of line B?c) At what point will line B cut the y axis?d) What is the equation of line B?xx4) The line y = -- + 4 cuts the line y = mx + c at the point (6,2). If the lines are perpendicular3to each other, what is the equation of the second line?5)yDA(2,2)CB(5,4)The diagram shows a square ABCD withcorners A(2,2) and B(5,4).a) What is the gradient of the line AB?b) What is the equation of the line AB in theform y = mx + c?c) Write down the gradients of the other threesides.d) What are the equations of the other threesides?x