The slope of the mountain is 2/35.
The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.
For the given situation,
The rise of mountain = 10 feet
The run of mountain = 175 feet
The vertical change between two points is called the rise, and the horizontal change is called the run.
The formula of slope is
[tex]Slope = \frac{rise}{run}[/tex]
⇒ [tex]Slope = \frac{10}{175}[/tex]
⇒ [tex]Slope = \frac{2}{35}[/tex]
Hence we can conclude that the slope of the mountain is 2/35.
Learn more about slope of a line here
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