7.7A Tables

Front

What is a table in mathematics?

Back

A table in mathematics is a systematic arrangement of data, usually in rows and columns, that helps to organize and analyze relationships between different variables.

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Back

This equation represents a linear relationship between x and y, where y decreases by 2 for every increase of 1 in x, and the y-intercept is 14.

Front

How do you determine if a table satisfies a given equation?

Back

To determine if a table satisfies a given equation, substitute the x-values from the table into the equation and check if the resulting y-values match those in the table.

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Back

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the point where the line crosses the y-axis.

Front

How can you write an equation from a table of values?

Back

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Front

What does it mean for two variables to be directly proportional?

Back

Front

How do you identify the correct equation from a set of options?

Back

To identify the correct equation, compare the given options with the data in the table, checking for consistency in the relationship between x and y.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change between the two variables; a positive slope means y increases as x increases, while a negative slope means y decreases as x increases.