Answer:
5200 feet above sea level
Step-by-step explanation:
We can determine the slope of the incline by taking the difference in feet above sea level and dividing it by the difference in miles:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{6400-5600}{6-2}=\frac{800}{4}=200[/tex]
So, the road gains elevation at a rate of 200 feet per mile. To figure out at what elevation the road starts at, we set up the equation [tex]5600=200(2)+b[/tex] after substituting one of the given points [tex](2,5600)[/tex] and solve for [tex]b[/tex], which tells us that information:
[tex]5600=400+b[/tex]
[tex]5200=b[/tex]
Therefore, the elevation of the road at the point where the road begins is 5200 feet above sea level.
