The rate of change of the y with respect to x will be equal to 10 when there is a linear relationship between x and y.
What is the rate of change?
The Rate of change of x and y can be calculated using the following formula and using any two given pairs of values from the table:
The Rate of change is given by the formula:
[tex]\rm ROC=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here the value of points are (-8.5,+92) and (-6.5,-72) so from the formula
[tex]\rm ROC=\dfrac{-72+92}{-6.5+8.5}=10[/tex]
Hence the rate of change of the y with respect to x will be equal to 10 when there is a linear relationship between x and y.
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