Learn Before
Modeling a Line with Slope on a Geoboard
To model a line with a negative slope on a geoboard, use the slope formula to identify the rise and run, then account for the downward direction of the rise. For a slope of , set up the formula and substitute the given slope to get . This tells us the rise is -1 and the run is 4. Because the rise is negative (the line moves downward), choose a starting peg in the upper-left area of the board to leave room to count down. To build the line: 1. Start at a peg near the upper left of the board. 2. Stretch the rubber band down 1 unit and then right 4 units to reach a second peg. The hypotenuse of the resulting right triangle represents a line whose slope is . This example shows how modeling a negative slope differs from a positive one: the starting peg must be chosen higher on the board, and the rubber band is stretched downward rather than upward before moving to the right.
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Elementary Algebra @ OpenStax
Ch.4 Graphs - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Related
Finding the Slope on a Geoboard
Modeling a Line with Slope on a Geoboard
Modeling a Line with Slope on a Geoboard
An apprentice in a metal fabrication shop uses a geoboard to determine the slope of a support brace. When calculating the slope (m) using the vertical 'rise' and horizontal 'run' measured on the board, which formula should the apprentice use?
A carpentry apprentice is using a geoboard to model the pitch of various roof designs for a client presentation. Match each term used in the geoboard method to its correct description.
An HVAC technician uses a geoboard to determine the pitch of a drainage pipe. In this modeling method, the vertical distance between the pegs is called the ____.
A construction apprentice is using a geoboard to model the pitch of a roof truss. Arrange the following steps in the correct order to determine the slope of a line using the geoboard method.
A building maintenance apprentice is using a geoboard to model the slope of a drainage pipe. When calculating the slope from left to right, if the pipe (represented by a rubber band) goes downward, the apprentice should record the 'rise' as a positive number.
Modeling Slopes with a Geoboard
Visualizing Structural Slopes with Geoboards
Modeling Pathway Slopes with a Geoboard
A plumbing apprentice is using a geoboard to model the slope of a waste line. According to the geoboard method, what geometric figure is created by the rubber bands when a third peg is used to identify the vertical 'rise' and horizontal 'run'?
A building maintenance apprentice is using a geoboard to model the slope of a new wheelchair ramp. After stretching a rubber band between two pegs to represent the ramp, the apprentice uses a third peg to form a right triangle. What is the primary purpose of this third peg in the geoboard method?
Learn After
An architectural assistant is using a geoboard to prototype a drainage slope for a parking lot. If the required slope is -1/4, which movements from the starting peg will accurately represent this grade?
A technician is using a geoboard to model a ramp with a slope of -1/4. Arrange the following steps in the correct order to represent this slope, starting from the first action.
A construction apprentice is using a geoboard to model a drainage pipe with a slope of -1/4. To correctly represent the negative rise, the apprentice must stretch the rubber band in a ____ direction from the starting peg.
True or False: When a technician uses a geoboard to model a drainage slope of -1/4 for a construction project, they should select a starting peg in the lower-left area of the board to ensure there is enough room to stretch the rubber band for the rise.
Modeling a -1/4 Drainage Grade on a Geoboard
A construction technician is using a geoboard to model a drainage slope with a grade of -1/4. Match each component of the slope or setup process with its corresponding physical action on the geoboard.
Modeling a -1/4 Drainage Grade for Site Planning
Landscaping Drainage Modeling
A landscaping designer is using a geoboard to model the incline of a drainage pipe with a slope of -1/4. After selecting a starting peg and stretching the rubber band down 1 unit and to the right 4 units, what geometric part of the resulting right triangle represents the actual line of the drainage pipe?
A site preparation technician is using a geoboard to model a drainage grade with a slope of -1/4. Based on the slope formula , what is the specific value of the 'rise' used to build this model?