Respuesta :

Answer: -5

Step-by-step explanation:

       The rate of change of the function, sometimes referred to as the slope or the gradient of the line, can be found with the following formula:

               [tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

       Using this formula and the given coordinate points from the graph of the function, we will identify the rate of change.

               [tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{1--4}{0-1} =\frac{1+4}{-1} =\frac{5}{-1}=-5[/tex]