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Exercises Graphs and straight lines

Example 11.40 from Prealgebra, 11.4 Understand Slope of a Line

Understand Slope of a Line: example 11.40

Graph the line passing through the point $(1, −1)$ whose slope is $m = \frac{3}{4} .$

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
Plot the given point, $(1, −1) .$

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

$\begin{matrix} m = \frac{3}{4} \\ \frac{rise}{run} = \frac{3}{4} \\ rise = 3 \\ run = 4 \end{matrix}$

Starting at the point we plotted, count out the rise and run to mark the second point. We count $3$ units up and $4$ units right.

Then we connect the points with a line and draw arrows at the ends to show it continues.

We can check our line by starting at any point and counting up $3$ and to the right $4 .$ We should get to another point on the line.

Your turn

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

Graph the line passing through the point with the given slope:

$(2, −2), m = \frac{4}{3}$

How did it go?

PreviousUnderstand Slope of a Line: example 11.39 Next Understand Slope of a Line: example 11.41

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.