1. On a separate piece of paper draw a line that crosses both the x and y-axes but does not cross the origin.


a. Find the slope and y-intercept of this line. Describe how you found your answers.


b. Write the equation of this line in slope-intercept form.


c. Rewrite this equation in standard form.


d. Write the equation of a line that is perpendicular to your first line. Describe how you found this line and the equation.



2. The table displays the amounts the Smith family spent on vacation during the years 2000-2009. U2testCR2


a. Make a scatter plot of the data and draw a trend line. Let 2000 = year 0. (Upload a photo of your graph.)


b. Write the equation of the trend line. Show your work.


c. Estimate the amount the Smith family will spend on vacation in 2015. Describe how you found your answer.



3a. Write a system of two equations with two variables with one solution? Explain why your system has only one solution.


3b. Write a system of two equations with two variables with no solution by changing one equation from your system in part a. Explain why your system has no solution.


3c. Write a system of two equations with two variables with infinitely many solutions by changing one equation from your system in part a. Explain why your system of infinitely many solutions.