Sec 1.6 Lines and Average Rate of change

  1. Find the equation of the line passing through the point \(\displaystyle{(2,-5)}\) with slope \(2\). Write your answer in the slope-intercept form.   solution

  2. Find the equation of the line passing through the points \(\displaystyle{(-1,-2)}\) and \(\displaystyle{(-5,6)}\). Write your answer in the slope-intercept form.  solution

  3. Write an equation of the line that has \(x\)-intercept \(-6\) and \(y\)-intercept \(9\).   solution

  4. A graph of $y=f(x)$ passes through the points $(-6, 2)$ and $(2,1)$. What is the average rate of change of $f$ from $x=-6$ to $x=2$?  solution

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  5. The following table gives the population of a small town. Figures shown are for January $1$ each year.   solution

    6. Year 2002 2004 2006 2008 2010 2012 2014 2016 2018 2020
    Population 3,220 3,645 4,357 4,869 5,871 6,375 6,288 5,318 4,921 4,636

    (a) What was the avergae rate of change of population (in person per year) between $2006$ and $2010$?

    (b) What was the avergae rate of change of population (in person per year) between $2010$ and $2020$?

     

  6. What is the average rate of change of the following graph of $y=f(x)$ from $x=-4$ to $x=0$ ?  solution

    7. pic