132 Chapter 2 Linear Equations in Two Variables and Functions x y 0 3 (0, 3) 53 53 2 Q, 2R 5 0 (5, 0) 5 4 3 2 1 43 1 3 4 5 5 21 2 1 2 3 4 5 Figure 2-5 x y (0, 3) ( , 2) (5, 0) 5 3 3x 5y 15 x y 0 5 1 Answer 5. 4 543 1 2 3 4 5 2 4 5 (1, 1) (3, 5) (0, 1) 5 1 21 3 2 1 x y 3 2x y 1 The completed list of ordered pairs is shown.To graph the equation, plot the three solutions and draw the line through the points (Figure 2-5). Arrows on the ends of the line indicate that points on the line extend infinitely in both directions. Skill Practice Given 2x y 1, complete the table and graph the line through the points. 5. x y 0 2 4 Graphing a Linear Equation in Two Variables Graph the equation Solution: Because the y-variable is isolated in the equation, it is easy to substitute a value for x and simplify the right-hand side to find y. Since any number can be used for x, choose numbers that are multiples of 2 that will simplify easily when multiplied by Substitute Substitute Substitute x 0. x 2. x 4. 1 2 1 2 122 y 2 y y 142 2 1 2 102 2 y 0 2 y 1 2 y 2 2 y 2 y 1 y 0 12 . y 1 2 x 2. Example 4
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