32) What is the x-intercept of the graph of an equation? Explain how to fi nd it. Complete the table of values, and graph each equation. 33) y 2x 5 34) y 3x 1 10) A(3, 5), B(4, 5), C(2, 0), D(0, 3), E a7 2 , 1b, F a5 2 , 5 8 b , G(0.7, 2.5) Fill in the blank with positive, negative, or zero. 11) The x-coordinate of every point in quadrant I is . 12) The x-coordinate of every point in quadrant II is . 13) The y-coordinate of every point in quadrant IV is . 14) The y-coordinate of every point in quadrant II is . 15) The x-coordinate of every point on the y-axis is . 16) The y-coordinate of every point on the x-axis is . Objective 2: Decide Whether an Ordered Pair Is a Solution of an Equation Determine whether each ordered pair is a solution of the given equation. 17) 7x 2y 4; (2, 5) 18) 3x 5y 1; (2, 1) 19) 4x 7y4; (8, 4) 20) 2x y 13; (8, 3) 21) y 5x 6; (3, 11) 22) x y 9; (4, 5) 23) y 3 2 x 19; (10, 4) 24) 5y 2 3 x 2; (12, 2) 25) x 13; (5, 13) 26) y 6; (7, 6) Mixed Exercises: Objectives 3–5 27) Explain the difference between a linear equation in one variable and a linear equation in two variables. Give an example of each. 28) Is x2 6y 5 a linear equation in two variables? Explain your answer. 29) What do you get when you graph a linear equation in two variables? What does that graph represent? 30) Every linear equation in two variables has how many solutions? 31) What is the y-intercept of the graph of an equation? Explain how to fi nd it. x y 0 1 2 1 x y 0 1 2 3 x 6 36) y 2 3 x 4 x y 0 3 3 6 35) y 5 2 x y 0 2 2 4 37) 3x 6y 9 38) 4x 1 y x y 0 0 4 1 x y 52 0 0 5 39) y 4 0 40) x x y 0 3 1 2 3 2 x y 5 0 1 2 41) For y 2 3 x 7, a) fi nd y when x 3, x 6, and x 3. Write the results as ordered pairs. b) fi nd y when x 1, x 5, and x 2. Write the results as ordered pairs. c) why is it easier to fi nd the y-values in part a) than in part b)? 42) What ordered pair is a solution to every linear equation of the form y mx, where m is a real number? www.mhhe.com/messersmith SECTION 4.1 Introduction to Linear Equations in Two Variables 151
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