help with delta math please

Question

The function y=f(x) is graphed below. Plot a line segment connecting the points on f where x=−8 and x=−3. Use the line segment to determine the average rate of change of the function f(x) on the interval −8≤x≤−3? 

Answer 1

average rate of change = slope = (f(-3)-f(-8))/(-3--8) = (f(-3)-f(-8)/-11 = -(f(-3)-f(-8))/11

you need to find the y values corresponding to -3 and -8, the points (-3,y1) and (-8,y2)

y1 = f(-3) and y2 = f(-8). You need either the equation of the line or the graph to find the 2 y values. Plug them into the above equation for the slope to get the average rate of change, which is a constant, if the line is a straight line.