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Table The difference in the values of the "dependent" variable is a fixed multiple of the difference between the corresponding values of the independent variable. And the value of the dependent variable is non-zero when the independent is zero.

Graph A non-vertical straight line which does not pass through the origin.

Equation y = mx + c (or equivalent) where m is some real number and c is non-zero.

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Q: How can you identify a linear nonproportional relationship from a table a graph and an equation?
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How you identify function based from graphs and equation?

An equation is the same as a function. Identifying a functional relationship from a graph is nearly impossible unless it is trivially simple like a linear relationship.


Why was there a need to invent linear equation in two variables?

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It is a relationship which is non-linear. The same amount of change in the independent variable brings about different amounts of changes in the dependent variable and these differences depend on the initial values of the independent variable.


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