This form is most often seen in real-world examples.
See solution.
Practice makes perfect
The standard form of an equation Ax+By=C is most often seen in real-world examples of math problems. It describes the relationship between two variables when there is a restriction on how many things you can have in total.
Real-life Problem
Suppose we are at the supermarket and want to buy one piece of fruit for our snack each day of the week. We need 7 pieces of fruit and we need to buy a combination of apples and oranges that gets us to 7. We can write this as an equation.
Number of Apples+Number of Oranges=7.
With this, we can have 6 apples and 1 orange, 2 apples and 5 oranges, or any combination of the two fruits that adds to be a total of 7. Because it shows a restriction and a combination of variables, the graph of this type of equation is always a variation of the following format.
The x- and y-intercepts show the possible combinations where we have all of one kind of object and none of the other. In the example from before, the x- and y-intercepts would be the case when you had either 7 oranges and 0 apples or 7 apples and 0 oranges.
