decide whether the following statement is true or false. the slope of a nonvertical line is the average rate…

Brief Explanations:

The slope formula for a non - vertical line passing through two points ((x_1,y_1)) and ((x_2,y_2)) is (m=\frac{y_2 - y_1}{x_2 - x_1}). The average rate of change of a function (y = f(x)) over the interval ([x_1,x_2]) is (\frac{f(x_2)-f(x_1)}{x_2 - x_1}). For a linear function (y=mx + b), (f(x_1)=mx_1 + b) and (f(x_2)=mx_2 + b). Then (\frac{f(x_2)-f(x_1)}{x_2 - x_1}=\frac{(mx_2 + b)-(mx_1 + b)}{x_2 - x_1}=\frac{m(x_2 - x_1)}{x_2 - x_1}=m).

Answer:

True