(1) The train travels 4 miles per gallon.
(2) The slope of the graph is ![m=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D)
Explanation:
(1) The miles that train travels per gallon is given by
![Miles= \frac{800}{200}](https://tex.z-dn.net/?f=Miles%3D%20%5Cfrac%7B800%7D%7B200%7D)
Dividing, we have,
![Miles= 4](https://tex.z-dn.net/?f=Miles%3D%204)
Thus, the train travels 4 miles per gallon.
(2) To determine the slope, let us consider two points from the graph.
The coordinates are
and ![(800,200)](https://tex.z-dn.net/?f=%28800%2C200%29)
Thus, substituting the coordinates in the slope formula, we get,
![m=\frac{200-0}{800-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B200-0%7D%7B800-0%7D)
Simplifying, we have,
![m=\frac{200}{800} =\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B200%7D%7B800%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
Thus, the slope of the graph is ![m=\frac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B4%7D)