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What does steeper mean?
To be more steep. We say "a steep slope" meaning the slope rises at a sharp angle, that is difficult to climb. A wall is steep because it goes straight up.
Why do gentle slopes have more widely spaced lines than steep slopes?
Presumably the questions refer to contour lines. If that is the case, the answer is as follows: Contour lines are lines drawn at selected heights on a map. They are lines that join points at the same height above the meas sea level. A gentle slope is one that does not rise (or fall) as rapidly as a steep slope. That is to say, you have to travel a greater horizontal distance to gain (lose) the same amount of vertical distance or height. So, with a gentle slope, you have to travel a greater distance to get from one contour to the next and so the lines are less close together.
How do you compare slopes math wise?
Mathwise, you would want to represent a slope with a number, in such a way that the steeper slope would have a larger number. That way, you could look at the numbers of two or more slopes, and just from the numbers, you could tell mathwise which slope is more steep or less steep, and whether it slopes up or down.
How does the slope affect the steepness of a line?
The larger the absolute value of the slope if, the more vertical, or steeper, the line is. A horizontal line has slope 0, a line that is just a very little bit steep, might have slope, 1/10, a line that is very steep might have slope 10/1 or 10, or even 1000000 and as that number gets bigger and bigger, the line becomes almost vertical. For practical purposes, the slope, or steepness, of the line can be determined by rise over run, or, with a 0/0 intercept, then y over x, or, y1-y2 over x1-x2.
How does a graph line with a steeper slpoe compare to one with a shallower slope?
Above the x axis, a steeper slope means more positive and therefore a faster rate of change of y with respect to x. This rate increases as the slope goes more and more away from the x axis. Below the x axis a steeper slope means more negative and therefore a faster rate of change of y with respect to x in the negative side. This rate increases as the slope goes more and more away from the x axis. For a distance vs. time graph. A steep positive slope means higher velocity. A steeper negative slope means higher velocity in the direction opposite to motion (declaration in a way).
