Here you will explore the relationship among three lines that pass through the origin (0, 0), where the slope of one of the lines is the reciprocal of the slope of one of the other lines.
a. By hand, carefully sketch the lines that pass through the origin (0, 0) and that have slopes 5, 1 and 1/5.
b. Sketch the lines that pass through the origin (0, 0) and that have slopes 2/5, 1, and 5/2.
c. Sketch the lines that pass through the origin (0, 0) and that have slopes ¾, 1, and 4/3.
d. What pattern do you notice from your graphs in parts (a) €“ (c)?
e. A line with slope m is sketched in Fig. 69. Sketch a line with slope 1/m that passes through the origin (0, 0). Assume both axes are scaled the same.