introduction to slope. the slope of a line is the “steepness” or “tilt” of that line. what...

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Introduc Introduc tion to tion to Slope Slope

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Page 1: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Introduction Introduction to Slopeto Slope

Page 2: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

The slope of a line is the “steepness” or “tilt” of that

line.

What is slope?

Page 3: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Types of Slope

Up and to the right

Positive

Down and to the right

Negative

Page 4: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Is the slope positive or negative?

Positi

ve

Page 5: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Is the slope positive or negative?

Negative

Page 6: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Is the slope positive or negative?

Positive

Page 7: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Calculating Slope

Page 8: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 9: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 10: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

rise = 4

run = 5

Slope = rise run

Slope = 4/5

Page 11: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 12: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

• No rise at all means your numerator will be zero.• Slope = 0• Think of hiking along a flat ground. It requires zero effort!

Slope of Horizontal Lines

Page 13: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

• No run at all means your denominator will be zero.• Try this in your calculator. 50 ÷ 0. What do you get?• Slope = undefined• Think of hiking down a perfectly vertical cliff. It is impossible! You would die.

Slope of Vertical Lines

Page 14: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 15: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 16: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 17: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 18: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 19: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 20: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 21: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!

Page 22: Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Count the Slope!