Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level23. Straight Line GraphsExercise 1In each of the following questions say what the gradient of the line is.1) y = x + 2 2) y = 3x + 3 3) y = – 5x – 2 4) y = 3–4x5) 2y = 4x + 3 6) 3y = 6x – 5 7) 3y = – 5x + 2 8) 4y = 6 – x9) y – 2x + 3 = 0 10) 2x – y– 3 = 0 11) y+ x + 3 = 0 12) 2y + 2x – 2 = 013) 2y + 2x = 1 14) x + y = 3 15) 4x – 3y = 4 16) x – 3y = 2Exercise 21) What is the equation of the line parallel to y = x which goes through the point (3,0)?2) What is the equation of the line parallel to y = 2x which goes through the point (5,0)?3) What is the equation of the line parallel to y = 3x + 2 which goes through the point (0,0)?4) What is the equation of the line parallel to y = – x – 6 which goes through the point (0,2)?5) What is the equation of the line parallel to y = – 3x + 2 which goes through the point(1,1)?6) What is the equation of the line parallel to y = 4x – 7 which goes through the point (4,2)?Exercise 31) The table below shows the relationship between x and y.a) On graph paper plot the values of x and y and show that this graph is of the formy = mx + c b) What are the values of m and c? c) What is the value of y when x = 65?d) What is the value of x when y = 234?2) The table below shows the relationship between two sets of values x and y .a) On graph paper plot the values of x and y and show that this graph is of the formy = mx + c b) What are the values of m and c? c) What is the value of y when x = 15?d) What is the value of x when y = 105?3) A coach company charges for the hireof their coaches according to thegraph shown.a) Write down the equation to the lineb) What is the cost of hiring a coachfor 5 hours?c) What is the cost of hiring a coachfor 6 1 hours?2 --d) For how many hours is a coachhired for if it costs £100?xyxy10 20 30 40 5014 34 54 74 942 4 6 8 1030 40 50 60 70140120100Cost 80£60(C)40202 4 6 8Number of hours (H)10