The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? -4/3 -3/4 6 8

Answer:Average rate of change = [tex]-\frac{3}{4}[/tex]Step-by-step explanation:Average rate of change in houses sold is actually the slope between two points.Lets say that the slope = mThen m = [tex]\frac{y1-y}{x1-x}[/tex]Here we have houses sold for [tex]2^{nd}[/tex] day [tex]=8[/tex] we can write it as [tex]=(x,y) =(2,8)[/tex] and houses sold for [tex]10^{th}[/tex] day [tex]=2[/tex] we can write it in coordinate form as tex](x_1,y_1)=(10,2)[/tex]Plugging the values :m = [tex]\frac{y1-y}{x1-x}[/tex] = [tex]\frac{2-8}{10-2}[/tex] = [tex]\frac{-6}{8}[/tex]  Reducing the fraction to its simplest form by dividing both numerator and denominator with 2.= [tex]\frac{-3}{4}[/tex] So the average rate of change in the selling of houses from day [tex]2[/tex] to day [tex]8[/tex] is [tex]\frac{-3}{4}[/tex]