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

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Presentation transcript:

How can we describe a line with one number?

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

Let’s Review Similar right triangles make straight lines

A Common Mistake How many numbers shown here? 012

Let’s Review Core Lesson Different triangles … but the SAME ratio Rises: Runs: Ratio: 1.5 or

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.

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

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

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

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

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?

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?

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