SOLUTION: A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes. This is represented by the function 6x+8y=288. Use the x- and y- intercepts to graph the eq

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes. This is represented by the function 6x+8y=288. Use the x- and y- intercepts to graph the eq      Log On


   

Question 1078098: A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes. This is represented by the function 6x+8y=288. Use the x- and y- intercepts to graph the equation. Then intercept the x- and y-intercepts. I'VE been trying for hours. Please help!
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let's find the two ordered pairs (x, y) so you can graph them:
6x+8y=288
8y = -6x+288
8y = -6(0)+288
8y = 0+288
8y = 288
y = 36
first ordered pair: (0x, 36)
---------------------
6x+8y=288
6x = -8y+288
6x = -8(0)+288
6x = 0+288
x = 48
second ordered pair: (48, 0)
Go graph them.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A store sells juice boxes in packages of 6 boxes and 8 boxes. They have 288 juice boxes. This is represented by the function 6x+8y=288. Use the x- and y- intercepts to graph the equation. Then intercept the x- and y-intercepts. I'VE been trying for hours. Please help! 
6x + 8y = 288

6(0) + 8y = 288 ------- Substituting 0 for x

8y = 288

matrix%281%2C5%2C+y%2C+%22=%22%2C+288%2F8%2C+or%2C+36%29

Therefore,  



6x + 8y = 288

6x + 8(0) = 288 ------- Substituting 0 for y

6x = 288

matrix%281%2C5%2C+x%2C+%22=%22%2C+288%2F6%2C+or%2C+48%29

Therefore, 

Plot these 2 points on the coordinate plane, and CONNECT them. You now have your graph.