SOLUTION: I wasn't quiet sure which category this question would fall under, but I figured this would be best. Anyhow, my question is: Ryan watched as the new sewer line was laid from t

Algebra ->  Linear-equations -> SOLUTION: I wasn't quiet sure which category this question would fall under, but I figured this would be best. Anyhow, my question is: Ryan watched as the new sewer line was laid from t      Log On


   



Question 798651: I wasn't quiet sure which category this question would fall under, but I figured this would be best. Anyhow, my question is:
Ryan watched as the new sewer line was laid from the house to the main line, a distance of 48 feet. At the edge of the house, the sewer line was 6 inches under the ground.
a) If the plumber tied in to the main line at a depth of 18 inches, what is the slope of the sewer line?
Equation used:___________ Slope:____________


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
slope=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
where the x is the horizontal distance (in inches) to the sewer main,
and y is the height (in inches).
We can make point P%5B1%5D(x%5B1%5D,y%5B1%5D) the connection at the main,
and P%5B2%5D(x%5B2%5D,y%5B2%5D) the connection at the house.

slope=%28-6-%28-18%29%29%2F%2848%2A12-0%29=12%2F48%2F12=1%2F48
That tells us that going from the main to the house the pipe would go up 1 inch as it goes forward 48.
Since 1%2F48=about0.02= 2%, maybe they call that a 2% slope.
Or maybe there are regulations for slope of the sewer lines, and maybe they measure the slope in inches per foot, so that would be
12inches%2F%2248+feet%22=0.25inch%2Ffoot