Now answer the following question(s): 1. Which theorem did we use to solve this problem? State the theorem.
2. What kind of lines are the parallel lines in this question, increasing, decreasing or vertical? How can you conclude?
3. In the question, in what form is the equation of the second line given? What form was it converted to? Why?
4. Find the distance between two parallel lines in this question?
5.
What is the condition for two non-vertical lines to be perpendicular according to Slopes of Perpendicular Lines theorem?
What does the converse of Slopes of Perpendicular Lines theorem state?

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to