In comparing the rates of change, the statement about Function M and Function P that is true is their rate of change will differ by 2.
A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line, also, it can be defined as the rate of change. It is given by the formula,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
As in the function of P, the value of the rate of change m is 7. while the rate of change of function M can be found in the following manner,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{1-(-9)}{0-(-2)} =\dfrac{1+9}{0+2} = 5[/tex]
Now, if we compare the rate of change, their rate of change will differ by 2.
Hence, In comparing the rates of change, the statement about Function M and Function P that is true is their rate of change will differ by 2.
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