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Slope. Slope is constant rate of change Slope = change in Y change in X Vertical change Horizontal change.

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Presentation on theme: "Slope. Slope is constant rate of change Slope = change in Y change in X Vertical change Horizontal change."— Presentation transcript:

1 Slope

2 Slope is constant rate of change Slope = change in Y change in X Vertical change Horizontal change

3 x y 2 4 2 4 –2 –4 –10 –6 –8 –4 (–1, –5) (0, –4) (1, –3) (2,- 2) Slope = Y 2 – Y 1 X 2 – X 1 1, –3 2,- 2 = -2 – -3 2 - 1 = 1 1 = 1 (X 1, Y 1 ) (X 2, Y 2 ) Pick any two points off of graph Set up changes Subtract Y values Subtract X values Step 4 Simplify Select one point to be and the other to be (X 1, Y 1 ) (X 2, Y 2 ) Step 1 Step 2 Step 3 Step 4 Step 5

4 x y (0, 1) (1, 4) (–1, –2) 0 –2 –4 24 2 4 –2 –4 Slope = Y 2 – Y 1 X 2 – X 1 = 4 – 1 1 - 0 = 3 1 = 3 (X 1, Y 1 ) (X 2, Y 2 ) (0, 1) (1, 4)

5 Essential Question How is constant rate of change related to slope?

6 Slope Date _____________

7 Slope is constant rate of change

8 x y Slope = Pick ____ _____ points off of graph Set up changes Subtract __ values ___________ = = = Select one point to be ________ and the other to be ________ Step 1 Step 2 Step 3 Step 4 Step 5 EX1)

9 x y 0 Slope = = = = EX2)

10 Essential Question How is constant rate of change related to slope?


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