The document defines slope as the steepness or incline of a line, and provides examples of different types of slopes, including:
- Positive (increasing) slope, shown through examples like mountains, books propped open, and structures that increase in height.
- Negative slope, shown through descending ramps, broken furniture, and see-saws.
- Steeper slopes, exemplified by steep mountains, ramps, roads, bridges and a church roof.
- Zero slope, where there is no incline or decline, such as flat surfaces.
- Flatter slope, with a minor tilt.
- Undefined slope, where vertical lines have no definition of slope.
In this document
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Introduction to slope, definition, and equation of slope (rise/run).
Illustrations of positive slope through mountains, books, and cranes demonstrating increasing elevation.
Illustrations of negative slope using ramps, broken furniture, and see-saws that show descending positions.
Examples of steep slopes using mountains, roads, and church roofs depicting greater incline.
Examples of zero slope including flat tables with no incline or decline identified.
Discussion of flatter slopes and undefined slopes, represented by images of almost flat or vertical lines.
Credits and acknowledgment of image sources used in the presentation.
Definition of SlopeSlope:slope defines the steepness, or incline of a line. Equation: y2-y1 m= _____ x2-x1Or rise_____ run
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Positive(increasing) SlopeThese mountainspictured in this photo can be an example of positive slope. The mountains get higher, the higher you go up on them. There is a point where it starts to descend, on the other side, but if you start from the bottom of a mountain, both sides increase.When your keeping place in a book of a yours with lets say a marker or pen, the cover of the book is an example of increasing slope. It starts at a lower point, and ends on a higher one. The book cover increases its slope because of the writing utensil shoved inside of the book to keep it propped up. But it is still an increasing slope.
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Positive(Increasing) SlopeThe rightside of this rock can be yet another example of an increasing slope. The side of the rock starts close to the bottom, and the increases upward, towards the sky.This light can be another example of increasing, positive slope. As the other examples, it increases upward.
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Positive (Increasing) SlopeThiscrane represents another example of positive slope. Just like all the others, it begins to ascend higher towards the sky.
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Negative SlopeThe rampseen in the picture to the right is an example of negative slope. The person on it is descending to the bottom (Which would mean he/she started at the top.) Isn’t that what negative slope is all about? Descending?All of these lines are descending. This picture could be another example for negative or positive slope. You could look at it either way.
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Negative SlopeThis brokenfurniture has created a negative slope. Part of it sticks in the air, and begins to slant downward, and the rest in on the floor.Ah, see-saws. A childhood memory for all. You probably have never thought about them having slopes. Well yes, they have slopes. See-saws can have negative slopes and positive slopes. Depending on the slope you perceive.
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Negative SlopeAs likethe rest of my examples for negative slope, they can also be seen as a positive slope too. This mountain descends downward on both sides.
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Steeper SlopeAh…mountains.. Thefirst thing most people think about when they hear the word steep. This mountain expresses a steeper slope.Steep ramps… also another example of steeper slope.
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Steeper SlopeThis roadis yet another example of a steep slope. Seems like a difficult road to drive up..This is a steep bridge. Its slope increases the higher it goes up.
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Steeper SlopeThe roofof this church it very steep. I believe this could be yet another example of steep slope. Even though it isn’t a perfectly straight line, the slope still increases.
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Zero SlopeThis wouldbe an example of zero slope. Considering there is no decline or incline in the direction of the line.This table is flat. Although the angle of the picture makes it not seem that way. It is an example of zero slope, because there is no incline or decline.
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Zero SlopeAll ofthese pictures are examples of zero slope. They do not have an increase or decrease in their slope.
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Flatter SlopeAll ofthese pictures have a tilt to them, but not a significant one. These are examples of flatter slope. A slope that would be considered a zero slope or a positive slope.
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Undefined SlopeAll ofthese pictures have an undefined slope. They all have vertical lines, which have no slope.