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Main Idea/Vocabulary slope rise run Find the slope of a line.

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Example 1 ACCESS RAMPS The access ramp from the sidewalk to the door of a hotel rises 8 inches for every horizontal change of 96 inches. What is the slope of the access ramp? Answer:

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1.A 2.B 3.C 4.D Example 1 ACCESS RAMPS The access ramp from the sidewalk to the door of an office building rises 14 inches for every horizontal change of 210 inches. What is the slope of the access ramp? A. B. C. D.

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Example 2 Find Slope Using a Graph Find the slope of the line. Choose two points on the line. The vertical change is –3 units while the horizontal change is 2 units.

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Example 2 Find Slope Using a Graph Answer: or

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1.A 2.B 3.C 4.D Example 2 Find the slope of the line. A. B. C. D.

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Example 3 Find Slope Using a Table The points given in the table lie on a line. Find the slope of the line. Then graph the line

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Example 3 Find Slope Using a Table Answer:

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1.A 2.B 3.C 4.D Example 3 The points given in the table lie on a line. Find the slope of the line. Then graph the line. A. B. C. D.

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KC

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Example 4 Find the slope of the line that passes through A(3, 3) and B(2, 0). Definition of slope Find Slope Using Coordinates (x 1, y 1 ) = (3, 3), (x 2, y 2 ) = (2,0) Simplify. Answer: The slope is 3.

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Example 4 CheckWhen going from left to right, the graph of the line slants upward. This is correct for positive slope. Find Slope Using Coordinates

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1.A 2.B 3.C 4.D Example 4 A.–1 B.1 C.2 D.5 Find the slope of the line that passes through A(4, 3) and B(1, 0).

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Example 5 Find the slope of the line that passes through X(–2, 3) and Y(3, 0). Definition of slope Find Slope Using Coordinates (x 1, y 1 ) = (–2, 3), (x 2, y 2 ) = (3,0) Simplify. Answer:

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Example 5 Check When going from left to right, the graph of the line slants downward. This is correct for a negative slope. Find Slope Using Coordinates

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1.A 2.B 3.C 4.D Example 5 Find the slope of the line that passes through X(–3, 3) and Y(1, 0). A. B. C. D.

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1.A 2.B 3.C 4.D Five Minute Check 1 Which of the following is a graph of the function y = x – 2? (over Lesson 9-3) A.B. C.D.

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1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 9-3) Which of the following is a graph of the function y = 4x? A.B. C.D.

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1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 9-3) A local repairman charges $20 per visit plus $15 per hour of work. Which choice shows an equation for the repairman’s rates and a graph of the equation? A.B.C.D.

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1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 9-3) A.y = x – 1 B.y = 2x – 1 C.y = x D.y = 3x – 3 Which function is graphed in the figure shown?

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