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On my math assignment it’s asking why linear function graphs, tables, and equations all match but I don’t know why?

hard to say, since you don't provide any data, but I'd guess because they all represent the same relation.

Did you know?

Did you know that linear function graphs, tables, and equations all match because they are different representations of the same mathematical concept? A linear function is a mathematical relationship between two variables that can be expressed as a straight line. Graphing a linear function allows us to visualize the relationship between the variables, while tables and equations provide a more concise and mathematical representation. Whether we plot points on a graph, organize data in a table, or use algebraic equations, all three methods reveal the same patterns and information about the linear relationship. So next time you encounter a linear function, remember that its various representations are just different ways of describing the same concept!