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Introduction To Slope. Slope is a measure of Steepness.

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Presentation on theme: "Introduction To Slope. Slope is a measure of Steepness."— Presentation transcript:

1 Introduction To Slope

2 Slope is a measure of Steepness.

3 Types of Slope Positive Negative Zero Undefined or No Slope

4 Slope is sometimes referred to as the “rate of change” between 2 points.

5 If given 2 points on a line, you may find the slope using the formula m = y 2 – y 1 x 2 – x 1

6 The formula may sometimes be written as m =∆y. ∆x What is ∆ ?

7 Find the slope of the line through the points (3,7) and (5, 19). x1x1 y1y1 x2x2 y2y2 m = 19 – 7 5 – 3 m = 12 2 m = 6

8 (3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = -6 -9 m = ⅔

9 Vertical Change Horizontal Change This ratio is also known as Rise Run

10 Graph (3,2) and (-1,-1)

11 Draw a line through the points.

12 Now that we have our line lets find its slope. Remember we are finding the following ratio: Vertical orRise HorizontalRun

13 Vertical Change or the Rise 3

14 Horizontal Change or the Run 4 3

15 Find the slope of the following line.

16 The slope is… 1 2

17 Find the slope of the line.

18 The slope is…. -3


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