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EXAMPLE 1

Find the slope of line a and line d. – 1. =. =. =. =. 2. 4. =. =. =. – 2. 0. y 2 – y 1. y 2 – y 1. 4 – 0. 4 – 2. x 2 – x 1. x 2 – x 1. 6 – 8. 6 – 6. EXAMPLE 1. Find slopes of lines in a coordinate plane. SOLUTION. Slope of line a : m. Slope of line d : m.

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EXAMPLE 1

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  1. Find the slope of line aand line d. – 1 = = = = 2 4 = = = – 2 0 y2 – y1 y2 – y1 4 – 0 4 – 2 x2 – x1 x2 – x1 6 – 8 6 – 6 EXAMPLE 1 Find slopes of lines in a coordinate plane SOLUTION Slope of linea:m Slope of lined:m which is undefined.

  2. Lineb 2 ANSWER for Example 1 GUIDED PRACTICE Use the graph in Example 1. Find the slope of the line.

  3. Linec 0 ANSWER for Example 1 GUIDED PRACTICE Use the graph in Example 1. Find the slope of the line.

  4. Find the slope of each line. Which lines are parallel? m1 4 = = = – 4 – 1 0 – 4 – 4 1 – 5 4 m2 = = = – 1 – 3 – (– 2 ) 3 – 4 EXAMPLE 2 Identify parallel lines SOLUTION Find the slope ofk1through (– 2, 4) and (– 3, 0). Find the slope of k2through (4, 5) and (1, 3).

  5. – 5 – 2 – 3 5 m3 = = = – 1 5 – 6 EXAMPLE 2 Identify parallel lines Find the slope of k3through (6, 3) and (5, – 2). Compare the slopes. Because k1and k2have the same slope, they are parallel. The slope of k3is different, so k3is not parallel to the other lines.

  6. ANSWER Yes; they have the same slope. for Example 2 GUIDED PRACTICE Line mpasses through (–1, 3) and (4, 1). Line t passes through (–2, –1) and (3, – 3). Are the two lines parallel? Explain how you know.

  7. Line hpasses through (3, 0) and (7, 6). Graph the line perpendicular to hthat passes through the point (2, 5). STEP 1 Find the slope m1of line hthrough (3, 0) and (7, 6). 3 6 m1 = = = 6 – 0 2 4 7 – 3 EXAMPLE 3 Draw a perpendicular line SOLUTION

  8. STEP 2 Find the slope m2of a line perpendicular to h. Use the fact that the product of the slopes of two perpendicular lines is –1. m2 – 1 = m2 – 2 = Multiply each side by 3 STEP 3 3 2 2 Use the rise and run to graph the line. 3 EXAMPLE 3 Draw a perpendicular line Slopes of perpendicular lines

  9. Line npasses through (0, 2) and (6, 5). Line m passes through (2, 4) and (4, 0). Is n m? Explain. ANSWER Yes; the product of their slopes is–1. In Example 4, which parachute is in the air for the longest time? Explain. SAMPLE ANSWER Parachute C. It was in the air approximately 1.25minutes longer than either a or b. for Examples 3 and 4 GUIDED PRACTICE

  10. http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch03_pg174.htmlhttp://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/geom07_ch03_pg174.html • http://www.classzone.com/cz/books/geometry_2007_na/resources/applications/animations/explore_learning/chapter_3/dswmedia/Alg1_4_6_Slope_I.html

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