Warm Up. Slope Essential Question: What is slope and how do you find it if you are given two points?

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Presentation transcript:

Warm Up

Slope Essential Question: What is slope and how do you find it if you are given two points?

Key Terms Slope of a Line – ______________________ of a line. Rate of Change – _______________________________________ EQ: What is slope and how do you find it if you are given two points?

Slope Key Concept: The _______ of a line is the _____________ of the line. Formula:Notation: ( )( )

Key Concept

Examples 1 & 2

Examples 3 & 4

Examples 5 & 6

Examples 7 & 8

Essential Question What is slope and how do you find it if you are given two points?

Warm Up Find the slope of line between the two points. 1) (9, 3) and (9, 6)2) (-3, 4) and (-9, 2)

Rate of Change Key Concept: Slope is also ______ of _________. Formula:Notation: ( ) Slope = _______ *In the diagram, the rate of change is _____________.

Example 9 Andrea has a part-time job at the local movie theater. She saves for a new cell phone at a rate of $15 every 2 weeks. Find rate of change for her savings.

Example 10 A candle has a starting length of 10 inches. Thirty minutes after lighting it, the length is 7 inches. Determine the rate of change in the length of the candle as it burns.

Example 11 ADA Requirements for Ramps: “The maximum slope of a ramp in new construction shall be 1:12. The maximum rise for any ramp run shall be 30 inches.” Find the rate of change of the height of an ADA ramp with maximum rise.

Essential Question What is slope and how do you find it if you are given two points?