Section 2.1 Linear Equations in Two Variables 137 x 6 Figure 2-10 x y 6 –4 (6,4) 6 1 (6, 1) 6 5 (6, 5) Skill Practice 10. Graph the equation x4. Graphing a Horizontal Line Example 9 5 4 3 2 1 y 1 Graph the equation 4y 7. Solution: The equation is equivalent to Because the equation is in the form the line must be horizontal and must pass through the y-axis at (Figure 2-11). We can also construct a table of solutions to the equation .The choice for the y-coordinate must be , but x can be any real number. 74 4y 7 y 74 y k, y 74 4y 7 . 21 1 2 3 4 5 7 8 x 2 3 4 5 6 Answers 10. 11. 5 4 3 2 1 543 1 2 3 4 5 21 1 2 3 4 5 x y x 4 5 4 3 2 1 543 1 2 3 4 5 21 1 2 3 4 5 x y 2y 9 x y 0 (0, ) (3, ) 74 2 (2, ) 74 74 74 3 74 74 5 4 3 2 1 543 1 2 3 4 5 21 1 2 3 4 5 Figure 2-11 x y y 74 Skill Practice 11. Graph the equation 2y 9. TIP: Notice that horizontal and vertical lines that do not pass through the origin have only one intercept. For instance, • The vertical line in Figure 2-10 has an x-intercept but no y-intercept. • The horizontal line in Figure 2-11 has a y-intercept but no x-intercept.
miller_intermediate_algebra_4e_ch1_3
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