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The table has a pattern to it!

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Q: How can you decide from a table whether a relationship is linear?
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How do you find the rule in a linear table of values?

First assume that the relationship is linear rather than the table. If the table is linear but the relationship is non-linear it is a very different and very difficult task. Suppose, next, that you have two sets of values: inputs (x) and outputs (y). Also, you must have at least two rows of data for different inputs.So, given that there at at least two sets of data, suppose they are as follows:x1 gets mapped to y1andx2 gets mapped to y2Then calculate m = (y2-y1)/(x2-x1)and c = y - mx for any x-y combination from the table.The rule is y = mx + c.First assume that the relationship is linear rather than the table. If the table is linear but the relationship is non-linear it is a very different and very difficult task. Suppose, next, that you have two sets of values: inputs (x) and outputs (y). Also, you must have at least two rows of data for different inputs.So, given that there at at least two sets of data, suppose they are as follows:x1 gets mapped to y1andx2 gets mapped to y2Then calculate m = (y2-y1)/(x2-x1)and c = y - mx for any x-y combination from the table.The rule is y = mx + c.First assume that the relationship is linear rather than the table. If the table is linear but the relationship is non-linear it is a very different and very difficult task. Suppose, next, that you have two sets of values: inputs (x) and outputs (y). Also, you must have at least two rows of data for different inputs.So, given that there at at least two sets of data, suppose they are as follows:x1 gets mapped to y1andx2 gets mapped to y2Then calculate m = (y2-y1)/(x2-x1)and c = y - mx for any x-y combination from the table.The rule is y = mx + c.First assume that the relationship is linear rather than the table. If the table is linear but the relationship is non-linear it is a very different and very difficult task. Suppose, next, that you have two sets of values: inputs (x) and outputs (y). Also, you must have at least two rows of data for different inputs.So, given that there at at least two sets of data, suppose they are as follows:x1 gets mapped to y1andx2 gets mapped to y2Then calculate m = (y2-y1)/(x2-x1)and c = y - mx for any x-y combination from the table.The rule is y = mx + c.


How are ordered pairs and ratios similar?

You can write ordered pairs as ratios to determine if two sets of ordered pairs form a linear or non-linear relationship. In a table of x,y values, the ordered pairs are listed as the x value first, then the corresponding y value. Remove from the table and write as a ratio of x over y, (or y over x, if you like). In a linear relationship, all the ratios of x over y, (or y over x) are equivalent.


How can you identify a linear non proportional relationship from a table a graph and an equation?

A linear non-proportional relationship can be identified from a table if the ratios of the y-values to the x-values are not constant. In other words, if the values in the y-column do not increase or decrease by the same factor for each increase in the x-values. From a graph, a non-proportional linear relationship can be identified if the line does not pass through the origin (0,0) or if the slope of the line is not constant. Finally, in an equation, a non-proportional linear relationship can be identified if it does not have a multiplier or constant ratio in front of the x-variable.


Is a x and y table linear?

Not necessarily.


How do you find the y intercept of a linear relationship from a table?

When the x-intercept is equal to zero, the value of y is the y-intercept. If you don't have zero on the table, use the formula y=mx+b, where m is the slope, and b is the intercept.

Related questions

How does the pattern of a change for a linear relationship show up in a table graph and an equation of the relationship?

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


How would you find the equation for a linear function when you are given a table of values for the variables?

If the figures in the table are exact and without measurement error then take any two of the points (x1, y1) and (x2, y2) and use these to form the linear relation y - y1 = ((y2 - y1)/(x2 - x1))(x - x1) If, however, you suspect that the values in the table do not exactly follow a linear relationship then use linear regression for which formulae are provided in wikipedia.


How can you use a table to decide if a relationship is proportional?

If the ratio between each pair of values is the same then the relationship is proportional. If even one of the ratios is different then it is not proportional.


What are advantages to using the table method when graphing a linear equation?

For a linear I can see no advantage in the table method.


What relationship does a atomic number have with the periodic table?

All the elements are arranged according to atomic number.Number of electrons decide the position of the element.Atomic number is the root main cause of periodic table.


How do you find the rule in a linear table of values?

First assume that the relationship is linear rather than the table. If the table is linear but the relationship is non-linear it is a very different and very difficult task. Suppose, next, that you have two sets of values: inputs (x) and outputs (y). Also, you must have at least two rows of data for different inputs.So, given that there at at least two sets of data, suppose they are as follows:x1 gets mapped to y1andx2 gets mapped to y2Then calculate m = (y2-y1)/(x2-x1)and c = y - mx for any x-y combination from the table.The rule is y = mx + c.First assume that the relationship is linear rather than the table. If the table is linear but the relationship is non-linear it is a very different and very difficult task. Suppose, next, that you have two sets of values: inputs (x) and outputs (y). Also, you must have at least two rows of data for different inputs.So, given that there at at least two sets of data, suppose they are as follows:x1 gets mapped to y1andx2 gets mapped to y2Then calculate m = (y2-y1)/(x2-x1)and c = y - mx for any x-y combination from the table.The rule is y = mx + c.First assume that the relationship is linear rather than the table. If the table is linear but the relationship is non-linear it is a very different and very difficult task. Suppose, next, that you have two sets of values: inputs (x) and outputs (y). Also, you must have at least two rows of data for different inputs.So, given that there at at least two sets of data, suppose they are as follows:x1 gets mapped to y1andx2 gets mapped to y2Then calculate m = (y2-y1)/(x2-x1)and c = y - mx for any x-y combination from the table.The rule is y = mx + c.First assume that the relationship is linear rather than the table. If the table is linear but the relationship is non-linear it is a very different and very difficult task. Suppose, next, that you have two sets of values: inputs (x) and outputs (y). Also, you must have at least two rows of data for different inputs.So, given that there at at least two sets of data, suppose they are as follows:x1 gets mapped to y1andx2 gets mapped to y2Then calculate m = (y2-y1)/(x2-x1)and c = y - mx for any x-y combination from the table.The rule is y = mx + c.


How can you identify a linear non proportional relationship from a table a graph and an equation?

A linear non-proportional relationship can be identified from a table if the ratios of the y-values to the x-values are not constant. In other words, if the values in the y-column do not increase or decrease by the same factor for each increase in the x-values. From a graph, a non-proportional linear relationship can be identified if the line does not pass through the origin (0,0) or if the slope of the line is not constant. Finally, in an equation, a non-proportional linear relationship can be identified if it does not have a multiplier or constant ratio in front of the x-variable.


How are ordered pairs and ratios similar?

You can write ordered pairs as ratios to determine if two sets of ordered pairs form a linear or non-linear relationship. In a table of x,y values, the ordered pairs are listed as the x value first, then the corresponding y value. Remove from the table and write as a ratio of x over y, (or y over x, if you like). In a linear relationship, all the ratios of x over y, (or y over x) are equivalent.


Is a x and y table linear?

Not necessarily.


What are two kinds of table graphs?

Linear and Exponetional.


What is linear decoding in microprocessor?

explain vector table?


How do you use a table of data to check whether the relationship between two variables is a direct variation?

if it passes through (0,0) then it is a direct variation