Hot dog buns are sold in packages of 8 and 12. taro bought 192 total buns for a party. this is represented by the function 8x + 12y = 192

Here is the graphical representation of the function you provide.

You can see the the points in which the line intersects each axis.

Every point in the line is a possible option for which hot dog package was bought.

For example, Taro might have bought 0 of the packages of 8, and 16 packages of 12.

or He might've bought zero packages of 12, and 24 packages of 8.