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Exercises Graphs and straight lines

Example 11.32 from Prealgebra, 11.4 Understand Slope of a Line

Understand Slope of a Line: example 11.32

Use a geoboard to model a line with slope $\frac{1}{2} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
To model a line with a specific slope on a geoboard, we need to know the rise and the run.

Use the slope formula. $m = \frac{rise}{run}$

Replace $m$ with $\frac{1}{2}$ . $\frac{1}{2} = \frac{rise}{run}$

So, the rise is $1$ unit and the run is $2$ units.

Start at a peg in the lower left of the geoboard. Stretch the rubber band up $1$ unit, and then right $2$ units.

The hypotenuse of the right triangle formed by the rubber band represents a line with a slope of $\frac{1}{2} .$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Use a geoboard to model a line with the given slope: $m = \frac{1}{3} .$

How did it go?

PreviousUnderstand Slope of a Line: example 11.30 Next Understand Slope of a Line: example 11.33

From Prealgebra (1st edition) by OpenStax (Rice University), section 11.4, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.