Please answer problem #s 1abc, 2abc, and 4abcdefghi.

1 Find, in gradient-intercept form. the Albena lives in Belgium. She travels equation of the line: to the USA where the temperature is with gradient 3 and p-Intercept (0. -2) measured in degrees Fahrenheit. She b with gradient - and passing through wants to know how hot it is in "C if the (-1.5) thermometer shows 83-F. c passing through ( 1. -1) and (2.-3). Use the fact that water boils at 100'C and 212"E and that water freezes at O'C and 2 Determine the x- and y-Intercepts of the 32-F following lines: Plot the two points representing the X- 5x y - -0.4+3 given information on a pair of axes c -0.2r+y=1 labelled "F (x-axis) and "C (y-axis). 3 An air traffic controller examines four flight li Sketch the line passing through these routes represented by straight lines given in two points. A-D below. Write an equation for the relationship A y-1 --1 (x+4) B y = 0.51 +3 between Cand F. where Frepresents C 2x+y-5=0 degrees Fahrenheit and C represents D line with a gradient of 2 and passing degrees Celsius. Write your equation in through (-1. 3) the form C-mF+ K. Draw the graphs of the four lines on the Write down the gradient of the same pair of axes. equation. b Determine: d Interpret the meaning of the gradient. i the x- and y-intercepts of route A Write down the y-intercept of the line Il the intersection point of routes A and B. representing this equation. c Show that routes C and D have the same f Interpret the meaning of the y-intercept. y-intercept. 177 DIVIDING UP SPACE: COORDINATE GEOMETRY, LINES, VORONOI DIAGRAMS Find the temperature in degrees Celsius 6 Maria works as a part-time waitress in the if the temperature is 83"F. summer and earns $30 per day plus 2% h Find the temperature in degrees all food and drink sales for the day. Fahrenheit if the temperature is -10"C. a Write an equation to represent her daily Explain how you could rearrange the earnings. A. in USD, In relation to the terms of the equation you obtained in amount & in USD. of all sales of food part b so that it gives the relationship of and drinks during the day. C and F in the form F= m,C+ k, b Deferinine the gradient Interpret is