Stack sugar cubes (or other blocks) in a stair-stepping pattern or lay them so that they resemble stairs, as shown in Illustration 1 on page 315 for Group Activities questions #01. Notice how these steps have a ratio of 1/1 or 1 to 1. That is, one step up and one step right. This is rise 1 and run 1. Is this familiar to you?a. Make other different stepping patterns that have a ratio, expressed as rise over run. Keep a record of you patterns by drawing different arrangements.b. Write the equation of a line with the slope that you recorded in part "a". Assume that the steps start at (0,0). Also, let each cube be one unit of length. For example, using the pattern illustrated with rise 1 and run 1, the slope is 1. So the equation of the line passing through the origin (0,0) would be y-0=1(x-0) or just y=x.

2. Draw a sketch of how stacked sugar cubes would look for the equations a. y = 3x and b. y = -2x. ILLUSTRATION 1