210 Chapter 3 Graphing Linear Equations in Two Variables 5 4 y 1 21 1 Alternative Solution: Create a table of values for the equation The choice for the y-coordinate must be 3, but x can be any real number. x y 0 3 1 3 2 3 x can be any number. y must be 3. Skill Practice 13. Graph the equation. y 2 5 4 y (0, 3) (2, 3) 1 54 3 1 2 3 4 5 Graphing a Vertical Line 21 1 Graph the equation 7x 14. Solution: Because the equation does not have a y-variable, we can solve the equation for x. 7x 14 is equivalent to x 2 This equation is in the form indicating that the line is vertical and must cross the x-axis at (Figure 3-12). x 2 x k, Example 8 y 3. y 3 54 3 1 2 3 4 5 2 3 4 5 x 3 2 Figure 3-11 Answer 13. 5 4 3 2 1 y 54 3 21 1 2 3 4 5 1 3 4 5 x 2 y 2 Graphing a Horizontal Line Graph the equation y 3. Solution: Because this equation is in the form y k, the line is horizontal and must cross the y-axis at y 3 (Figure 3-11). Example 7 x 2 5 4 y 1 54 3 1 2 3 4 5 21 1 2 3 4 5 x 3 2 Figure 3-12 2 3 4 5 x 3 2 (1, 3) TIP: Notice that a horizontal line has a y-intercept, but does not have an x-intercept (unless the horizontal line is the x-axis itself ).
miller_beginning_intermediate_algebra_4e_ch1_3
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