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Splash Screen. 1. In the figure, m 4 = 146. Find the measure of 2. 2. In the figure, m 4 = 146. Find the measure of 7. 3. In the figure, m 4 = 146. Find the measure of 10. 4. In the figure, m 4 = 146. Find the measure of 11. 5. Find m 11 + m 6. 5-Minute Check 1.

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  1. Splash Screen

  2. 1. In the figure, m4 = 146. Find the measure of 2. 2. In the figure, m4 = 146. Find the measure of 7. 3. In the figure, m4 = 146. Find the measure of 10. 4. In the figure, m4 = 146. Find the measure of 11. 5. Find m11 + m6. 5-Minute Check 1

  3. You used the properties of parallel lines to determine congruent angles. • Find slopes of lines. • Use slope to identify parallel and perpendicular lines. Then/Now

  4. slope • rate of change Vocabulary

  5. Concept

  6. A.Find the slope of the line. Find the Slope of a Line Substitute (–3, 7) for (x1, y1) and (–1, –1) for (x2, y2). Slope formula Substitution Simplify. Answer: –4 Example 1

  7. B. Find the slope of the line. Find the Slope of a Line Substitute (0, 4) for (x1, y1) and (0, –3) for (x2, y2). Slope formula Substitution Simplify. Answer: The slope is undefined. Example 1

  8. C. Find the slope of the line. Answer: Find the Slope of a Line Substitute (–2, –5) for (x1, y1) and (6, 2) for (x2, y2). Slope formula Substitution Simplify. Example 1

  9. D. Find the slope of the line. Find the Slope of a Line Substitute (–2, –1) for (x1, y1) and (6, –1) for (x2, y2). Slope formula Substitution Simplify. Answer: 0 Example 1

  10. A. B. C. D. A. Find the slope of the line. Example 1a

  11. A.0 B.undefined C.7 D. B. Find the slope of the line. Example 1b

  12. A.0 B.undefined C.3 D. D. Find the slope of the line. Example 1d

  13. Concept

  14. Concept

  15. Determine whether and are parallel,perpendicular, or neither for F(1, –3), G(–2, –1), H(5, 0), and J(6, 3). Graph each line to verify your answer. Step 1 Find the slopes of and . Determine Line Relationships Example 3

  16. The slopes are not the same, so and are not parallel. The product of the slopes is So, and are not perpendicular. Determine Line Relationships Step 2 Determine the relationship, if any, between the lines. Example 3

  17. Determine Line Relationships Answer: The lines are neither parallel nor perpendicular. Check When graphed, you can see that the lines are not parallel and do not intersect in right angles. Example 3

  18. Determine whether AB and CD are parallel,perpendicular, or neither for A(–2, –1), B(4, 5), C(6, 1), and D(9, –2) A. parallel B. perpendicular C. neither Example 3

  19. Graph the line that contains Q(5, 1) and is parallel to MN with M(–2, 4) and N(2, 1). First, find the slope of . Use Slope to Graph a Line Slope formula Substitution Simplify. Example 4

  20. The slope of the line parallel to through Q(5, 1) is . Draw . Use Slope to Graph a Line The slopes of two parallel lines are the same. Answer: Graph the line. Start at (5, 1). Move up 3 units and then move left 4 units. Label the point R. Example 4

  21. Graph the line that contains R(2, –1) and is parallelto OP with O(1, 6) and P(–3, 1). A. B. C.D. none of these Example 4

  22. End of the Lesson

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