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Math: Slope

Math: 7th grade Slope and Properties

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Page 1: Math: 7th grade Slope and Properties

Math: Slope

Page 2: Math: 7th grade Slope and Properties

What do you think slope is?

Page 3: Math: 7th grade Slope and Properties

What is really slope?

What is slope? If you have ever walked up or down a hill, then you have already experienced a real life example of slope

As you go up hill, you may feel like you are spending lots of energy to get yourself to move.

The steeper the hill, the harder it is for you to keep yourself moving

Keeping this fact in mind, by definition, the slope is the measure of the steepness of a line.

In real life, we see slope in any direction. However, in math, slope is defined from left to right.

I repeat we always measure slope going from left to right. This is very important!

There are three types of slope you can encounter. A slope can be positive, negative, or equal to zero. When the slope is equal to zero, we say that there is no slope

Page 4: Math: 7th grade Slope and Properties

Positive Slope

If you go from left to right and you go up, it is a positive slope

Page 5: Math: 7th grade Slope and Properties

Name some types of positive slopes?

Page 6: Math: 7th grade Slope and Properties

Negative Slope

If you go from left to right and you go down, it it a negative slope

Page 7: Math: 7th grade Slope and Properties

Name types of negative slopes?

Page 8: Math: 7th grade Slope and Properties

Zero Slope

If you go from left to right and you don't go up or down, it it a zero slope

Page 9: Math: 7th grade Slope and Properties

Name types of zero slopes?

Page 10: Math: 7th grade Slope and Properties

Slope=Rise and Run

That steepness can be measured with the following formula:

-up

DODJDJ-down

Page 11: Math: 7th grade Slope and Properties

How do you know the slope direction?

The slope going up is positive and the slope going down is negative

But the slope going even is zero

And the slope going vertical is undefined

Page 12: Math: 7th grade Slope and Properties

Summing of slope