An interior designer is using a geoboard to prototype a decorative wall pattern. To achieve a specific aesthetic, a line must have a slope of -1/3. According to the definition of slope as rise over run, how should the designer move from the first peg to the second peg to create this line?

A site supervisor is using a geoboard to prototype a drainage system layout. To create a line with a slope of -1/3, the supervisor starts at one peg and moves 1 unit down (a rise of -1). To reach the next peg and complete the slope, the supervisor must move ____ units to the right.

A facility manager is using a geoboard to model the slope of a drainage pipe. To achieve a slope of -1/3, the manager should move 1 unit downward for the 'rise' and 3 units to the right for the 'run' from a starting peg.

A logistics coordinator is using a geoboard to model the decline of a conveyor belt system. The model requires a slope of $-\frac{1}{3}$. Match the following slope components to their correct numerical values or physical descriptions as they appear in the geoboard model.

A site planning technician is using a geoboard to model the grade of a drainage swale with a slope of -1/3. Arrange the following steps in the correct order to accurately represent this slope on the geoboard, starting from a fixed peg.

Determining Rise and Run for a -1/3 Slope

Modeling Drainage Pipe Slope

Visualizing Slope for Infrastructure Planning

A technical drafting intern is using a geoboard to model the decline of a ramp with a slope of $-\frac{1}{3}$. According to the slope formula $m = \frac{\text{rise}}{\text{run}}$, what numerical value represents the 'rise' if the rubber band drops 1 unit vertically for every 3 units it moves to the right?

A civil engineering technician is using a geoboard to model the grade of a drainage swale with a slope of $-\frac{1}{3}$. Based on the definition of slope as $\frac{\text{rise}}{\text{run}}$, in which direction must the technician move 1 unit vertically to correctly represent the 'rise' of -1?