decide whether the following statement is true or false.\nthe slope of a nonvertical line is the average…
decide whether the following statement is true or false.\nthe slope of a nonvertical line is the average rate of change of the linear function.\n\nchoose the correct answer below\n\nfalse\n\ntrue
Answer
Brief Explanations:
The formula for 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), where (m) is the slope of the non - vertical line (y = mx + b).
Answer:
True