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To determine if a relationship is linear from a table, check if the differences in the y-values (output) corresponding to equal differences in the x-values (input) are constant. For a graph, a linear relationship will appear as a straight line. In an equation, if the equation can be expressed in the form (y = mx + b), where (m) and (b) are constants, it indicates a linear relationship.

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1mo ago

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What relationship does a linear graph shows?

A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.


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Since the geraph is a picture of the equation, it's almost a father and son relationship. The equation begets the graph. The graph, in turn, admires and looks up to the equation.


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To determine if a relationship is linear, you can express it in the form of a linear equation, typically written as (y = mx + b), where (m) represents the slope and (b) is the y-intercept. If the equation can be rearranged to fit this format, it indicates a linear relationship. Additionally, a linear relationship will show a constant rate of change, meaning the difference in (y) values for equal changes in (x) values remains consistent. If the graph of the equation produces a straight line, the relationship is confirmed as linear.


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The graph will be a line.


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When it is a linear equation.


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you put in what x is and solve it for y! thats the answer!


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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.


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