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How are slopes used in the real world?
In road building, to make sure the road isn't too steep. Roof of a building has a slope so that rain will run off.
what- A paved road runs down a hill as shown, with endpoints (0, 8) and (8, 0). What is the slope of the hill?
-1
Why would you ever need to know slope or rate of change in the real world?
The "slope" of the graph of any quantity tells how fast that quantity is changing. Any quantity that changes in real life has a slope. -- The slope of the car's odometer reading is the car's speed. That slope is so important that a separate meter, called the "speedometer", is provided to show it. -- The slope of the speedometer reading is the car's acceleration. -- The slope of a road, track, or trail is called the "grade". Hikers and railroad drivers always want to know the grade, because it tells them whether they'll be able to make it past that piece of track or trail, and whether they'll need to get a running start. -- People who build roads with curves have to be careful of what kind of slope they build into the curves. If the slope of the pavement in a curve is wrong, then every car on the curve flies off of the road. -- Carpenters too. If the slope of the roof on a house or a building is wrong, then the rain and snow don't run off fast enough, and the roof caves in.
What are units for slope?
Mathematically, there is no unit for slope. If you are taking something like a rise of 40cm over a run of 10cm, the cm cancel out and the slope is simply 4 Once you get off the math homework paper, however, slopes are often given as over a certain distance. If dealing with a hill on a road, you might be given a slope of "18 inches per 100 feet traveled" or something along those lines. ■
What happens if a slope is undefined?
then the slope is x=y. there is no slope.
