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Ms. Russell's Guides
Linear Functions


What is a Function?   The Definition of a Line   The Big Deal with Slopes   How Can I remember?   Putting It Together   Quiz Yourself

Why are slopes so important, you ask?

Take a look around. It's all over the place!


CARS
Streamlined for performance
or Built for necessity


corvette     carbed 

   sprinter

TENTS
What's worse?
The precipitation or the wind?



tent     tent

pointy tent

  

WATERSLIDES
Are you a steep slide rider
or out for a little less speed?


steepslide    swirlslide  

slides

SKI SLOPES
Cross-country or Downhill?


cross country      downhill

cross

O
k, these are just once and a while.
But someone said that slopes affect me everyday!
How?

border



Think about where you live. What does your roof look like?
Is it an apartment building, condo, house?

house1  house2  house3  house4  house5  bank


Why might someone choose to have a flat roof
instead of a peaked roof?



Are there stairs in your home?
How steep are they?

stairs   stairs


Let's look at how we can determine the
"steepness" of something sloped.

house grid
Take any sloped surface lay down a grid and pick two clear points along that surface.

Slope is the ratio of the vertical height to the horizontal length.

Count in an L shape, from point to point,
first vertically (up/down)
and then
horizontally (left/right).




This is your Slope, but it is always written as a fraction:
RISE / RUN  
or
 slope
(read as "change in y divided by change in x")


Therefore, the slope of this part of the roof is 5/2




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