G3.4

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Geometry : 

Geometry Chapter 3: Section 4

Slide 2: 

Lesson 3.4, For use with pages 171-178

Slide 3: 

Lesson 3.4, For use with pages 171-178 4. Julie was thinking of a number. The product of her number and 6 is –1. What was Julie’s number?

Slide 4: 

EXAMPLE 1 Find slopes of lines in a coordinate plane SOLUTION Slope of line a: m Slope of line d: m which is undefined.

Slide 5: 

GUIDED PRACTICE for Example 1 Use the graph in Example 1. Find the slope of the line. SOLUTION SOLUTION

Slide 6: 

EXAMPLE 2 Identify parallel lines SOLUTION Find the slope of k1 through (– 2, 4) and (– 3, 0). Find the slope of k2 through (4, 5) and (1, 3).

Slide 7: 

EXAMPLE 2 Identify parallel lines Find the slope of k3 through (6, 3) and (5, – 2). Compare the slopes. Because k1 and k2 have the same slope, they are parallel. The slope of k3 is different, so k3 is not parallel to the other lines.

Slide 8: 

GUIDED PRACTICE for Example 2 SOLUTION Find the slope of m through (– 1, 3) and (4, 1).

Slide 9: 

GUIDED PRACTICE for Example 2 Find the slope of t passes through (– 2, – 1) and (1, – 3). Compare the slopes. Because m and t have the same slope, they are parallel.

Slide 10: 

EXAMPLE 3 Draw a perpendicular line SOLUTION

Slide 11: 

EXAMPLE 3 Draw a perpendicular line Slopes of perpendicular lines

Slide 12: 

EXAMPLE 4 Standardized Test Practice SOLUTION The rate at which the skydiver descended is represented by the slope of the segments. The segments that have the same slope are a and c.

Slide 13: 

GUIDED PRACTICE for Examples 3 and 4 SOLUTION Find the slope of line n through (0, 2) and (6, 5).

Slide 14: 

GUIDED PRACTICE for Examples 3 and 4 Find the slope of line m through (2, 4) and (4, 0). Find the product. Since the product of the slopes of line n and m is – 1. Hence , they are perpendicular to each other.

Slide 15: 

GUIDED PRACTICE for Examples 3 and 4

Slide 16: 

GUIDED PRACTICE for Examples 3 and 4 In Example 4, what do the x-intercepts represent in the situation? How can you use this to eliminate one of the choices?

Slide 17: 

EXAMPLE 5 Solve a real-world problem

Slide 18: 

EXAMPLE 5 Solve a real-world problem

Slide 19: 

EXAMPLE 5 Solve a real-world problem SOLUTION The Magnum XL-200 is 205 feet high at the top of its climb. The numerator, 0.5125, represents the slope in decimal form.

Slide 20: 

EXAMPLE 5 Solve a real-world problem

Slide 21: 

GUIDED PRACTICE for Example 5 SOLUTION Find the slope of q Find the slope of t Line q is steeper than line t.

Slide 22: 

GUIDED PRACTICE for Example 5 SOLUTION Slope of roller coaster The roller coaster is more steep than Magnum as its slope is greater. The roller coaster is less steep than Millenium Force as its slope is less.