Answer: The rate of change in y-values w.r.t x-values is -5/6.
or
The value of slope (m) is found to be -5/6.
Step-by-step explanation:
Here, by rate of change in values of y w.r.t values in x means slope.
Given, y1 = 5, y2=-5, x1 = -3, x2 = 9.
i.e. dy/dx = slope (m)
m = (y2 - y1 ) / ( x2-x1 )
Therefore, dy/dx = (y2 - y1 ) / ( x2-x1 )
= (-5 - 5 ) / (9- (-3) )
= -5/6