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How can we describe a line with one number? 4 6 6 9.

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Presentation on theme: "How can we describe a line with one number? 4 6 6 9."— Presentation transcript:

1 How can we describe a line with one number? 4 6 6 9

2 In this lesson you will learn to describe a straight line by naming its unique slope.

3 Let’s Review Similar right triangles make straight lines. 3 6 4 8 4 8 4 5

4 A Common Mistake How many numbers shown here? 012

5 Let’s Review Core Lesson 4 6 3 2 Different triangles … but the SAME ratio. 6 9 8 12 Rises: 3 6912 Runs: 2 468 Ratio: 1.5 or

6 Let’s Review Core Lesson For any line, the ratio of rise to run is constant. We call this ratio the slope of the line.

7 Let’s Review Core Lesson What is the slope of this line? 6 8 Slope = ratio of rise to run or

8 Let’s Review Core Lesson The slope of this line is 0.6. Find the missing rise. 10 x x = 6

9 In this lesson you have learned to describe a straight line by naming its unique slope.

10 Let’s Review Guided Practice What is the slope of this line? 9 15 The slope of this line is 1.25. Find the missing run.

11 Let’s Review Extension Activities If the slope is 0.5 and the run is 4, what’s the run? Derive a formula: If the slope is m and the run is q, what’s the run?

12 Let’s Review Extension Activities If the slope is 0.5 and the rise is 4, what’s the run? Derive a formula: If the slope is m and the rise is q, what’s the run?

13 Let’s Review Quick Quiz What is the slope of this line? 2 8 The slope of this line is 0.2. Find the missing rise. 15


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