SOLUTION: A city is paving a bike path. The same length of path is paved each day. After 4 days, there are 8 miles of path remaining to be paved. After 6 more days, there are 5 miles of path

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A city is paving a bike path. The same length of path is paved each day. After 4 days, there are 8 miles of path remaining to be paved. After 6 more days, there are 5 miles of path      Log On


   

Question 1111783: A city is paving a bike path. The same length of path is paved each day. After 4 days, there are 8 miles of path remaining to be paved. After 6 more days, there are 5 miles of path remaining to be paved. Write an equation that gives the distance (in miles) remaining to be paved as a function of the number of days since the project began.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
y, distance remaining to be paved
x, number of days of the paving work

Points described are (4,8) and (10,5);
Note that "after 6 more days" when 4 days were used first, makes for 10 day.

Using Point-Slope form, y-5=%28%285-8%29%2F%2810-4%29%29%28x-10%29;
Simplify this equation.