176 Chapter 2 Linear Equations in Two Variables and Functions Section 2.4 Practice Exercises Study Skills Exercise On test day, take a look at any formulas or important points that you had to memorize before you enter the classroom.Then when you sit down to take your test, write these formulas on the test or on scrap paper.This is called a memory dump. Write down the formulas from Sections 2.1–2.4. Vocabulary and Key Concepts 1. A mathematical is a formula or equation that represents a relationship between two or more variables. Review Exercises 2. Determine the x- and y-intercepts for the line defined by 30x 40y 1200. For Exercises 3–5, a. Find the slope (if possible) of the line passing through the two points. b. Find an equation of the line passing through the two points. Write the answer in slope-intercept form (if possible) and in standard form. c. Graph the line by using the slope and y-intercept.Verify that the line passes through the two given points. 3. 1 4. 11, 12 and 13, 52 5. 14, 32 and 12, 32 3, 02 and 13, 22 5 4 y 3 2 1 543 1 2 3 4 5 2 1 1 2 3 4 5 x 2 1 6. What is the slope of the line defined by x2? Concept 1: Writing a Linear Model 5 4 y 1 2 1 7. A luxury car rental company charges $120 per day in addition to a flat fee of $65 for insurance. (See Example 1.) a. Write an equation that represents the cost y (in dollars) to rent the car for x days. b. Graph the equation. c. What is the y-intercept and what does it mean in the context of this problem? d. Use the model from part (a) to determine the cost of driving the rental car for 2 days, 5 days, and 7 days. 543 1 2 3 4 5 2 3 4 5 x 3 2 1 5 4 y 3 1 543 1 2 3 4 5 2 3 4 5 x 2 1 1200 900 600 0 0 2 4 6 8 Cost ($) Cost of Rental Car by Number of Days 300 Number of Days x y
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