Final answer:
The question is about creating an equation for pairs of numbers that sum to 6. For example, the equation x + y = 6 can be graphed in a coordinate system, showing all pairs (x, y) that combine to give a sum of 6.
Step-by-step explanation:
The question asks for equations that graph numbers resulting in a sum of 6. This could refer to either a set of numbers adding up to 6 or the solution to simple algebraic equations where the sum of two variables equals 6.
To illustrate, if we have two numbers, x and y, whose sum must be 6, we can write the equation as x + y = 6. The solutions to this equation are all pairs of numbers (x, y) that add up to 6, such as (1,5), (2,4), (3,3), and so on.
On a graph, this would be represented as a straight line where every point on the line corresponds to a pair of numbers that satisfy the equation.
To graph this equation, we can find two points that satisfy the equation and plot them. For instance, if x=2, then y must be 4 for the sum to be 6.
Similarly, if x=4, then y=2.
Plotting these points and drawing a line through them will give us the line representing all combinations of x and y that add up to 6.