Page 198

miller_introductory_algebra_3e_ch1_3

240 Chapter 3 Graphing Linear Equations in Two Variables Determining the Slope of a Vertical Line Find the slope of the line passing through the points and (2, 4). Solution: Label the points. Apply the slope formula. 12, 12 and 12, 42 1x1, y12 1x2, y22 Because the slope, m, is undefined, we expect the points to form a vertical line as shown in Figure 3-21. 5 4 y 1 54 3 1 2 3 4 5 21 1 2 3 4 5 Figure 3-21 x 3 2 (2, 4) (2, 1) m 5 0 Undefined m y2 y1 x2 x1 142 112 122 122 12, 12 Example 4 Determine the Slope of a Horizontal Line 13, 22 14, 22 Example 5 Find the slope of the line passing through the points and . Solution: Label the points. Apply the slope formula. 13, 22 and 14, 22 1x1, y12 1x2, y22 m m y2 y1 x2 x1 2 2 4 3 122 122 142 132 0 7 0 Because the slope is 0, we expect the points to form a horizontal line, as shown in Figure 3-22. Skill Practice Find the slope of the line through the given points. 4. 15, 62 and 15, 22 Skill Practice Find the slope of the line through the given points. 5. 13, 82 and 15, 82 Answers 4. Undefined 5. 0 5 4 y 3 1 54 3 1 2 3 4 5 21 1 3 4 5 Figure 3-22 x 2 (4, 2) (3, 2) Classroom Example: p. 246, Exercise 42 Classroom Example: p. 246, Exercise 40


miller_introductory_algebra_3e_ch1_3
To see the actual publication please follow the link above