270 Chapter 3 Graphing Linear Equations in Two Variables For Exercises 13–16, determine the x- and y-intercepts if they exist. 13. 4x 3y 6 14. 2y 6x 15. x 4 16. y 3 0 18. a. Find the slope of the line that passes through 12, 02 15, 12 the points and . b. Find the slope of the line . 19. a. What is the slope of a line parallel to the line x 4y 16? b. What is the slope of a line perpendicular to the line 20. a. What is the slope of the line x 5? b. What is the slope of the line y 3? 21. Carlos called a local truck rental company and got quotes for renting a truck. He was told that it would cost $41.95 to rent a truck for one day to travel 20 miles. It costs $89.95 to rent the truck for one day to travel 100 miles. Let x represent the number of miles driven and y represent the cost of the rental. 0 20 40 60 80 100 120 100 80 60 40 20 0 a. Using the ordered pairs (20, 41.95) and (100, 89.95), find the slope of the line. b. Interpret the slope in the context of this problem. Number of Miles Driven Cost ($) y Price of Renting a Truck for a Day x (20, 41.95) (100, 89.95) x 4y 16? 4x 3y 9 y 3x 2 2x 5y 0 5 4 3 2 1 y x 54 3 54 3 1 2 3 4 5 5 4 3 2 1 21 y 1 2 3 4 5 21 1 2 3 4 5 1 2 3 4 5 3x 2y 8 x 2 5 4 3 2 1 y x y 3 4 54 3 21 1 2 3 4 5 1 2 3 4 5 5 4 y 1 1 2 3 4 5 543 21 1 2 3 4 5 2 4 5 x 3 2 1 3 5 4 3 2 1 2221 y 21 22 23 24 25 5 4 y 1 y 14 x 2, 5 4 y 3 2 1 2524 23 543 21 1 2 3 4 5 2 3 4 5 x x x 3 2 1 4 ft 10 ft 6. Given the equation complete the table. Plot the ordered pairs and graph the line through the points to represent the set of all solutions to the equation. x y 0 4 6 321 1 2 3 4 5 6 7 1 3 4 5 x 2 17. What is the slope of the hill? For Exercises 7–10, graph the equations. 7. 8. 9. 10. For Exercises 11–12, determine whether the equation represents a horizontal or vertical line. Then graph the line. 11. 6y 18 12. 5x 1 8
miller_beginning_intermediate_algebra_4e_ch1_3
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