SOLUTION: Stephen has a bowl of M&Ms, which he is eating at a constant speed. After eating for 3 hours, he has 25 pounds left. After eating for a total of 6 hours he has 10 pounds left. Cons

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Stephen has a bowl of M&Ms, which he is eating at a constant speed. After eating for 3 hours, he has 25 pounds left. After eating for a total of 6 hours he has 10 pounds left. Cons      Log On


   

Question 768130: Stephen has a bowl of M&Ms, which he is eating at a constant speed. After eating for 3 hours, he has 25 pounds left. After eating for a total of 6 hours he has 10 pounds left. Consider the length of time he has been eating and the pounds of M&Ms left for variables. What is the equation? The x/y intercept?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x_________y
3_________25
6_________10

EQUATION OF THE LINE CONTAINING TWO POINTS
(3,25) and (6,10)
m=%2810-25%29%2F%286-3%29=-5

Pick either given point (u,v).
%28y-v%29%2F%28x-u%29=-5 simply using definition for slope.
y-v=-5%28x-u%29
y=-5x%2B5u%2Bv