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EXAMPLE 3 Draw a perpendicular line SOLUTION Line h passes through (3, 0) and (7, 6). Graph the line perpendicular to h that passes through the point (2,

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Presentation on theme: "EXAMPLE 3 Draw a perpendicular line SOLUTION Line h passes through (3, 0) and (7, 6). Graph the line perpendicular to h that passes through the point (2,"— Presentation transcript:

1 EXAMPLE 3 Draw a perpendicular line SOLUTION Line h passes through (3, 0) and (7, 6). Graph the line perpendicular to h that passes through the point (2, 5). = 6 4 = 3 2 m1m1 = 6 – 0 7 – 3 STEP 1 Find the slope m 1 of line h through (3, 0) and (7, 6).

2 EXAMPLE 3 Draw a perpendicular line STEP 2 Find the slope m 2 of a line perpendicular to h. Use the fact that the product of the slopes of two perpendicular lines is –1. m2m2 = 3 2 – 1 m2m2 = – 2 3 Slopes of perpendicular lines 2 3 Multiply each side by STEP 3 Use the rise and run to graph the line.

3 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. The correct answer is D. ANSWER

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

5 GUIDED PRACTICE for Examples 3 and 4 6. In Example 4, what do the x - intercepts represent in the situation? How can you use this to eliminate one of the choices? SAMPLE ANSWER Time of the landing. b and c are in the air different amounts of time.


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