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Exercises Graphs and straight lines

Example 11.41 from Prealgebra, 11.4 Understand Slope of a Line

Understand Slope of a Line: example 11.41

Graph the line with $y$ -intercept $(0, 2)$ and slope $m = - \frac{2}{3} .$

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, the $y$ -intercept $(0, 2) .$

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

$\begin{matrix} m = - \frac{2}{3} \\ \frac{rise}{run} = \frac{−2}{3} \\ rise = –2 \\ run = 3 \end{matrix}$

Starting at $(0, 2),$ count the rise and the run and mark the second point.

Connect the points with a line.

Your turn

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

Graph the line with the given intercept and slope:

$y$ -intercept $4, m = - \frac{5}{2}$

How did it go?

PreviousUnderstand Slope of a Line: example 11.40 Next Understand Slope of a Line: example 11.42

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.